Quantum Algebra

[1] An sl_2-type tensor category for the Virasoro algebra at central charge 25 and applications

Robert McRae Yau Mathematical Sciences Center, Tsinghua University Jinwei Yang Shanghai Jiaotong University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2301.04001

Mathematische Zeitschrift, 303, (2), 32, 2023.2
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[2] Quantizable functions on Kähler manifolds and non-formal quantization

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Quantum Algebra mathscidoc:2211.29001

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[3] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[4] Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

Zhengwei Liu Sebastien Palcoux Yunxiang Ren

Category Theory Quantum Algebra mathscidoc:2207.04004

2022.1
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[5] Quantized Graphs and Quantum Error Correction

Zhengwei Liu au Mathematical Science Center and Department of Mathematics, Tsinghua University, Beijing 100084, China

Mathematical Physics Quantum Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22008

2019.10
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[6] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[7] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
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[8] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[9] Lifting shadings on symmetrically self-dual subfactor planar algebras

Zhengwei Liu Scott Morrison David Penneys

Category Theory Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.04002

Contemporary Mathematics, 747, 2020.7
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[10] Classification of Thurston-relation subfactor planar algebras

Corey Jones Ohio State University, Columbus, USA Zhengwei Liu Harvard University, Cambridge, USA Yunxiang Ren Harvard University, Cambridge, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.29002

European Mathematical Society, 10, (3), 441-480, 2019.9
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[11] An angle between intermediate subfactors and its rigidity

Keshab Chandra Bakshi Institute of Mathematical Science, Homi Bhabha National Institute, Chennai, India Sayan Das Department of Mathematics, University of Iowa, Iowa City IA 52242 Zhengwei Liu Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Yunxiang Ren Department of Mathematics, University of Tennessee, Knoxville TN 37996

Quantum Algebra mathscidoc:2207.29001

Transactions of the American Mathematical Society, 371, 5973-5991, 2018.12
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[12] Quon language: surface algebras and Fourier duality

Zhengwei Liu Departments of Mathematics and of Physics, Harvard University, Cambridge, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22003

Communications in Mathematical Physics, 366, 865–894, 2019.3
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[13] Holographic software for quantum networks

Arthur Jaffe Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Alex Wozniakowski Present address: Current address: School of Physical and Mathematical Sciences and Complexity Institute, Nanyang Technological University, Singapore, 637723, Singapore; Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22002

Science China Mathematics, 61, 593–626, 2018.2
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[14] Uncertainty principles for Kac algebras

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29005

Journal of Mathematical Physics, 58, 052102, 2017.5
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[15] Singly generated planar algebras of small dimension, Part III

Dietmar Bisch Department of Mathematics, Vanderbilt University, Nashville TN 37235 Vaughan F. R. Jones Department of Mathematics, Vanderbilt University, Nashville TN 37235 Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29004

Transactions of the American Mathematical Society, 369, (4), 2461–2476, 2016.7
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[16] Planar Para Algebras, Reflection Positivity

Arthur Jaffe Harvard University, Cambridge, MA 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA

Quantum Algebra mathscidoc:2206.29003

Communications in Mathematical Physics, 352, 95-133, 2016.12
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[17] Exchange relation planar algebras of small rank

Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29002

Transactions of the American Mathematical Society, 368, (12), 8303–8348, 2017.12
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[18] 1-Supertransitive Subfactors with Index at Most 6+1/5

Zhengwei Liu Vanderbilt University, Nashville, USA Scott Morrison Mathematical Sciences Institute, Australian National University, Canberra, Australia David Penneys University of California, Los Angeles, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29001

Communications in Mathematical Physics, 334, 889–922, 2014.9
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[19] Some remarks on associated varieties of vertex operator superalgebras

Hao Li

Quantum Algebra mathscidoc:2205.29001

2021.7
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[20] Ribbon tensor structure on the full representation categories of the singlet vertex algebras

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang Shanghai Jiaotong University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04011

Advances in Mathematics, 413, 108828, 2023.1
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[21] On rationality for C_2-cofinite vertex operator algebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04010

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[22] On semisimplicity of module categories for finite non-zero index vertex operator subalgebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04009

Letters in Mathematical Physics, 112, (2), 25, 2022.4
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[23] Structure of Virasoro tensor categories at central charge 13−6p−6/p for integers p>1

Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04008

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[24] Tensor structure on the Kazhdan-Lusztig category for affine gl(1|1)

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04007

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[25] On ribbon categories for singlet vertex algebras

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04006

Communications in Mathematical Physics, 387, (2), 865-925, 2021.10
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[26] Direct limit completions of vertex tensor categories

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04005

Communications in Contemporary Mathematics, 24, (2), 2150033, 2022.3
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[27] Vertex algebraic intertwining operators among generalized Verma modules for affine Lie algebras

Robert McRae Tsinghua University

Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.22002

Advances in Mathematics, 374, 107351, 2020.11
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[28] Twisted modules and G-equivariantization in logarithmic conformal field theory

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04004

Communications in Mathematical Physics, 383, (3), 1939-2019, 2021.5
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[29] Gluing vertex algebras

Thomas Creutzig University of Alberta Shashank Kanade University of Denver Robert McRae Vanderbilt University and Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04003

Advances in Mathematics, 396, 108174, 2022.2
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[30] On the tensor structure of modules for compact orbifold vertex operator algebras

Robert McRae Vanderbilt University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04002

Mathematische Zeitschrift, 296, 409-452, 2020.10
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[31] Tensor categories for vertex operator superalgebra extensions

Thomas Creutzig University of Alberta Shashank Kanade University of Alberta and University of Denver Robert McRae Vanderbilt University and Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory arXiv subject: Mathematical Physics (math-ph) arXiv subject: Representation Theory (math.RT) arXiv subject: Quantum Algebra (math.QA) mathscidoc:2204.04001

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[32] Finite W-superalgebras via super Yangians

Yung-Ning Peng National Central University

Quantum Algebra Representation Theory mathscidoc:2103.29001

Advances in Mathematics, 377, 107459, 2021
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[33] Kapranov's L∞ structures, Fedosov's star products and one-loop exact BV quantizations on Kähler manifolds

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Quantum Algebra mathscidoc:2009.29001

Commun. Number Theory Phys., 16, (2), 299-351, 2022.4
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[34] A geometric construction of representations of the Berezin-Toeplitz quantization

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Mathematical Physics Quantum Algebra mathscidoc:2002.22001

Advances in Theoretical and Mathematical Physics, 26, (1), 2022.1
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[35] Counting Unimodular Lattices in $\R^{r, s} $

Shinobu Hosono Bong H Lian Keiji Oguiso Shing-Tung Yau

Quantum Algebra mathscidoc:1912.43706

arXiv preprint math/0301095, 2003.1
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[36] New structure for orthogonal quantum group invariants

Qingtao Chen Kefeng Liu

Quantum Algebra mathscidoc:1912.43129

Proceedings of the American Mathematical Society, 143, (8), 3645-3657, 2015
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[37] Proof of the Labastida-Marino-Ooguri-Vafa conjecture

Kefeng Liu Pan Peng

Quantum Algebra mathscidoc:1912.43054

Journal of Differential Geometry, 85, (3), 479-525, 2010
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[38] Lower bounds for numbers of real solutions in problems of Schubert calculus

Evgeny Mukhin Indiana University,Purdue University Vitaly Tarasov Indiana University,Purdue University

Quantum Algebra mathscidoc:1911.43038

Acta Mathematica, 217, (1), 177-193, 2016
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[39] Cluster Realization of Uq(g) and Factorizations of The Universal R-matrix

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43023

Selecta Mathematica, New Series, 24, (5), 2018
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[40] Cluster Realization of Positive Representations of a Split Real Quantum Borel Subalgebra

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43021

Theoretical and Mathematical Physics(Russian Federation), 198, (2), 215-238, 2019
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[41] On tensor products decomposition of positive representations of Uqq~(sl(2,R))

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43017

Preprint, 2015
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[42] On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra Uqq (bℝ)

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43015

Transactions of the American Mathematical Society, 370, (6)
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[43] Positive Representations of Split Real Quantum Groups: The Universal R Operator

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43011

International Mathematics Research Notices, 2015, 240-287, 2015
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[44] Gauss-lusztig Decomposition for Positive Quantum Groups and Representation by Q-tori

Ivan Chi-Ho Ip UST

Quantum Algebra mathscidoc:1909.43010

Journal of Pure and Applied Algebra, 219, 5650-5672, 2015
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[45] Positive Representations of Non-simply-laced Split Real Quantum Groups

Ivan Chi-Ho Ip UST

Quantum Algebra mathscidoc:1909.43009

Journal of Algebra, 425, 2015
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[46] Quantum Dilogarithm Identities at Root of Unity

Ivan Chi-Ho Ip UST Masahito Yamazaki University of Tokyo

Quantum Algebra mathscidoc:1909.43008

International Mathematics Research Notices, 2016, 2016
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[47] Graded decomposition matrices of v-schur algebras via jantzen filtration

Peng Shan Université Paris 7

Quantum Algebra mathscidoc:1908.29005

REPRESENTATION THEORY , 16, 212-269, 2012.4
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[48] Categorification of quantum symmetric pairs I.

Huanchen Bao Peng Shan Weiqiang Wang Ben Webster

Quantum Algebra mathscidoc:1908.29004

Quantum Topology, 9, 643-714, 2018
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[49] Crystals of fock spaces and cyclotomic rational double affine hecke algebras

Peng Shan Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1908.29003

Ann. Scient. Éc. Norm. Sup., 44, (4), 147, 2011
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[50] Canonical bases and affine Hecke algebras of type D

Peng Shan Université Paris 7 Michela Varagnolo Université de Cergy-Pontoise Éric Vasserot Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1908.29002

Advances in Mathematics, 227, 267-291, 2011
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[51] Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras

Raphaël Rouquier UCLA Peng Shan Tsinghua University Michela Varagnolo University of Cergy-Pontoise

Quantum Algebra Representation Theory mathscidoc:1908.29001

Advances in Mathematics, 262, 370-435, 2014
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[52] Invariant subsets under compact quantum group actions.

Huichi Huang Chongqing University

Functional Analysis Quantum Algebra mathscidoc:1908.12002

J. Noncommut. Geom., 10, (2), 447-469, 2016
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[53] Faithful compact quantum group actions on connected compact metrizable spaces.

Huichi Huang SUNY at Buffalo

Functional Analysis Quantum Algebra mathscidoc:1908.12001

J. Geom. Phys., 70, 232–236, 2013
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[54] Positive Casimir and Central Characters of Split Real Quantum Groups

Ivan Chi-Ho Ip The University of Tokyo

Quantum Algebra mathscidoc:1811.43004

Distinguished Paper Award in 2018

Communications in Mathematical Physics, 2016
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[55] Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam ACADEMIA SINICA Hiroki Shimakura TOHOKU UNIVERSITY

Quantum Algebra mathscidoc:1811.43002

Distinguished Paper Award in 2018

American Journal of Mathematics, 137, (1), 2015
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[56] Kapranov's Construction of Homotopy Leibniz Algebras

Zhuo Chen Tsinghua University Zhangju Liu Peking University MAOSONG XIANG Peking University

Quantum Algebra mathscidoc:1809.29001

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[57] On the center of quiver Hecke algebras

Peng Shan Tsinghua University Michela Varagnolo University of Cergy-Pontoise Eric Vasserot University of Paris Diderot

Group Theory and Lie Theory Quantum Algebra Representation Theory mathscidoc:1806.17001

Best Paper Award in 2018

Duke Math J., 166, (6), 1005–1101, 2017
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[58] Canonical bases arising from quantum symmetric pairs

Huanchen Bao University of Maryland, College Park Weiqiang Wang University of Virginia

Quantum Algebra mathscidoc:1804.29001

Best Paper Award in 2018

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[59] Weak Lie 2-bialgebras

Zhuo Chen Tsinghua University Mathieu Stienon Pennsylvania State University Ping Xu Pennsylvania State University

Quantum Algebra Rings and Algebras mathscidoc:1803.29001

Journal of Geometry and Physics, 68, 59-68, 2013.8
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[60] Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies

Todor Milanov IPMU Yefeng Shen IPMU Hsian-Hua Tseng Ohio State University

Mathematical Physics Quantum Algebra Representation Theory Symplectic Geometry mathscidoc:1801.01004

Geometry and Topology, 20, 2135--2218, 2016
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[61] Heisenberg algebras and rational double affine Hecke algebras

Peng Shan Université Paris 7 Eric Vasserot Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1707.29002

Distinguished Paper Award in 2017

Journal of the American Mathematical Society, 25, (4), 959-1031, 2012
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[62] Categorifications and cyclotomic rational double affine Hecke algebras

Raphaël Rouquier UCLA Peng Shan CNRS, Université Paris Sud Michela Varagnolo Université de Cergy-Pontoise Eric Vasserot Université Paris Diderot-Paris 7

Quantum Algebra Representation Theory mathscidoc:1707.29001

Silver Award Paper in 2017

Invent. Math., 204, 671-786, 2016
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[63] Ding-Iohara algebras and quantum vertex algebras

Haisheng Li Rutgers University shaobin Tan Xiamen University Qing Wang Xiamen University

Quantum Algebra Representation Theory mathscidoc:1706.29001

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[64] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

Zhengwei Liu Harvard University, Vanderbilt University Alex Wozniakowski Harvard University Arthur M. Jaffe Harvard University

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.22001

Distinguished Paper Award in 2017

PNAS, 114, (10), 2497-2502, 2017
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[65] Composed inclusions of A3 and A4subfactors

ZhengweiLiu Vanderbilt University

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.29001

Distinguished Paper Award in 2017

AdvancesinMathematics, 279, 307–371, 2015
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[66] A parameterization of the canonical bases of affine modified quantized enveloping algebras

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29005

Chinese Annals of Mathematics, Series B, 37, (2), 235-258, 2016
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[67] BGP-Reflection Functors and Lusztig's Symmetries of Modified Quantized Enveloping Algebras

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29004

Acta Mathematica Sinica, English Series, 29, (10), 1833-1856, 2013
[ Download ] [ 2017-02-19 19:32:02 uploaded by zhaomh ] [ 580 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[68] Geometric realizations of Lusztig's symmetries of symmetrizable quantum groups

Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29003

Algebras and Representation Theory, 2017
[ Download ] [ 2017-02-19 19:06:34 uploaded by zhaomh ] [ 600 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[69] Geometric realizations of Lusztig's symmetries

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29002

Distinguished Paper Award in 2017

Journal of Algebra, 475, 392-422, 2017.4
[ Download ] [ 2017-02-19 18:46:55 uploaded by zhaomh ] [ 561 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[70] Weak Hopf Algebras and Singular Solutions of Quantum Yang–Baxter Equation

Fang Li Zhejiang University Steven Duplij Kharkov National University

Quantum Algebra mathscidoc:1702.29001

Communications in Mathematical Physcis, 225, 27, 2002
[ Download ] [ 2017-02-09 10:05:48 uploaded by fangli ] [ 728 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[71] Parabolic Presentations of the Super Yangian Y(glM|N) Associated with Arbitrary 01-Sequences

Yung-Ning Peng National Central University

Mathematical Physics Quantum Algebra mathscidoc:1701.22006

Communications in Mathematical Physics, 346, 313-347, 2016.1
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[72] Parabolic Presentations of the Super Yangian Y (glM|N)

Yung-Ning Peng

Mathematical Physics Quantum Algebra mathscidoc:1701.22005

Communications in Mathematical Physics, 307, 229-259, 2011.8
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[73] Un scindage du morphisme de Frobenius quantique

Michel Gros IRMAR, Université de Rennes I Masaharu Kaneda Department of Mathematics, Osaka City University

Quantum Algebra mathscidoc:1701.29005

Arkiv for Matematik, 53, (2), 271-301, 2014.8
[ Download ] [ 2017-01-08 20:36:40 uploaded by arkivadmin ] [ 572 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[74] The Alexander polynomial as quantum invariant of links

Antonio Sartori Mathematisches Institut, Universität Bonn

Quantum Algebra Representation Theory mathscidoc:1701.29004

Arkiv for Matematik, 53, (1), 177-202, 2013.8
[ Download ] [ 2017-01-08 20:36:39 uploaded by arkivadmin ] [ 528 downloads ] [ 0 comments ] [ Cited by 3 ] [ Abstract ] [ Full ]
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[75] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

Hiroki Matui Graduate School of Science, Chiba University Yasuhiko Sato Graduate School of Science, Kyoto University

Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:1701.29003

Acta Mathematica, 209, (1), 179-196, 2011.11
[ Download ] [ 2017-01-08 20:33:59 uploaded by actaadmin ] [ 638 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[76] Essential dimension of central simple algebras

Sanghoon Baek Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology Alexander S. Merkurjev Department of Mathematics, University of California, Los Angeles

Quantum Algebra Rings and Algebras mathscidoc:1701.29002

Acta Mathematica, 209, (1), 1-27, 2010.3
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[77] Generalized Bäcklund–Darboux transformations for Coxeter–Toda flows from a cluster algebra perspective

Michael Gekhtman Department of Mathematics, University of Notre Dame Michael Shapiro Department of Mathematics, Michigan State University Alek Vainshtein Department of Mathematics and Department of Computer Science, University of Haifa

Quantum Algebra mathscidoc:1701.29001

Acta Mathematica, 206, (2), 245-310, 2009.6
[ Download ] [ 2017-01-08 20:33:56 uploaded by actaadmin ] [ 827 downloads ] [ 0 comments ] [ Cited by 11 ] [ Abstract ] [ Full ]
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[78] Canonical bases and quantum coordinate algebras

Li Bin Tsinghua University Hechun Zhang Tsinghua University

Quantum Algebra mathscidoc:1610.29004

Journal of Algebra
[ Download ] [ 2016-10-08 18:01:39 uploaded by hzhang ] [ 532 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] First fundamental theorems of invariant theory for quantum supergroups

G. I. Lehrer University of Sydney Hechun Zhang Tsinghua University Ruibin Zhang University of Sydney

Quantum Algebra mathscidoc:1610.29003

[ Download ] [ 2016-10-08 17:46:54 uploaded by hzhang ] [ 758 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] Hall algebras of cyclic quivers and q-deformed Fock spaces

Bangming Deng Tsinghua University Jie Xiao Tsinghua University

Quantum Algebra Rings and Algebras mathscidoc:1610.29002

[ Download ] [ 2016-10-06 20:01:56 uploaded by bmdeng ] [ 576 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] Remarks on Hall algebras of triangulated categories

Jie Xiao Tsinghua University Fan Xu Tsinghua University

Category Theory Quantum Algebra mathscidoc:1610.04001

[ Download ] [ 2016-10-04 10:58:29 uploaded by Fan_Xu ] [ 827 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[82] Ringel-Hall algebras beyond their quantum groups I: Restriction functor and Green's formula

Jie Xiao Tsinghua University Fan Xu Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1610.29001

[ Download ] [ 2016-10-04 10:45:03 uploaded by Fan_Xu ] [ 892 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] Atiyah classes of strongly homotopy Lie pairs

Zhuo Chen Tsinghua University Honglei Lang Max Planck institute for Mathematics Maosong Xiang Peking university

Quantum Algebra mathscidoc:1609.29001

[ Download ] [ 2016-09-05 08:01:22 uploaded by zhuo_chen ] [ 739 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[84] Counting Unimodular Lattices in $\R^{r,s}$

Shinobu Hosono University of Tokyo Bong H. Lian Brandeis University Keiji Oguiso University of Tokyo Shing-Tung Yau Harvard University

Quantum Algebra mathscidoc:1608.29001

2003
[ Download ] [ 2016-08-28 15:32:34 uploaded by lianbong ] [ 586 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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