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
[ Download ] [ 2017-07-17 14:31:44 uploaded by pengshan ] [ 1887 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2022-07-07 15:58:39 uploaded by Liuzhengwei ] [ 1657 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2022-07-07 16:07:22 uploaded by Liuzhengwei ] [ 1533 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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

[ Download ] [ 2016-10-08 17:46:54 uploaded by hzhang ] [ 1375 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2022-11-01 14:29:54 uploaded by kwchan ] [ 1318 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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 ] [ 1292 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
[ Download ] [ 2022-07-07 16:17:26 uploaded by Liuzhengwei ] [ 1283 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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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
[ Download ] [ 2017-07-17 14:36:37 uploaded by pengshan ] [ 1270 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] 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 ] [ 1253 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] 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
[ Download ] [ 2022-07-07 16:14:55 uploaded by Liuzhengwei ] [ 1252 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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