Quantum Algebra

[1] 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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[2] 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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[3] 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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[4] 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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[5] 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

Advances in Mathematics, 433, 109293, 2023.11
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[6] 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 ] [ 1268 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] 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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[8] 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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[9] 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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[10] 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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[11] 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 ] [ 1203 downloads ] [ 0 comments ] [ Cited by 11 ] [ Abstract ] [ Full ]
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[12] 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
[ Download ] [ 2018-06-06 00:23:21 uploaded by pengshan ] [ 1199 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] 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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[14] 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 ] [ 1151 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] 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 ] [ 1130 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] 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 ] [ 1122 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] 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
[ Download ] [ 2017-01-16 17:44:15 uploaded by ynpncu ] [ 1116 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] 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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[19] 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
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[20] 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
[ Download ] [ 2019-08-28 14:41:50 uploaded by pengshan ] [ 1015 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] 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 ] [ 1010 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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
[ Download ] [ 2018-01-04 23:36:32 uploaded by tseng ] [ 1008 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[23] 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

[ Download ] [ 2017-06-09 09:36:52 uploaded by qingwang ] [ 990 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] 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 ] [ 971 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] 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 ] [ 948 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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