Quantum Algebra

[1] 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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[2] 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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[3] 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 ] [ 796 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] Remarks on Hall algebras of triangulated categories

Jie Xiao Tsinghua University Fan Xu Tsinghua University

Category Theory Quantum Algebra mathscidoc:1610.04001

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[5] 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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[6] 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
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[7] 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

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[8] 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

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[9] 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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[10] 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
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[11] 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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[12] 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

[ Download ] [ 2018-04-10 02:40:31 uploaded by Huanchen ] [ 591 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] 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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[14] 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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[15] 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
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[16] 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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[17] 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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[18] 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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[19] Kapranov's Construction of Homotopy Leibniz Algebras

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

Quantum Algebra mathscidoc:1809.29001

[ Download ] [ 2018-09-07 14:12:45 uploaded by zhuo_chen ] [ 524 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] 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 ] [ 521 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] 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
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[22] 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

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[23] 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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[24] 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
[ Download ] [ 2019-09-20 16:14:12 uploaded by Ivanip ] [ 507 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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 ] [ 497 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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