Category Theory

[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
[ Download ] [ 2023-01-27 16:46:36 uploaded by rhmcrae ] [ 467 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[2] 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 ] [ 1247 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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 ] [ 1209 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] 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 ] [ 1568 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] 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
[ Download ] [ 2022-07-03 16:22:36 uploaded by Liuzhengwei ] [ 1194 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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