Category Theory

[1] 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 ] [ 98 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[2] 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 ] [ 93 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] 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 ] [ 114 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[4] 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 ] [ 104 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] Emergent SUSY in Two Dimensions

Ken Kikuchi Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China Jin Chen Department of Physics, Xiamen University, Xiamen, 361005, China; Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China Fengjun Xu Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Beijing, 101408, China Chi-Ming Chang Yau Mathematical Sciences Center (YMSC), Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications (BIMSA), Beijing, 101408, China

Category Theory arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2207.04001

arXiv, 2022.4
[ Download ] [ 2022-07-02 14:54:29 uploaded by changcm ] [ 79 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] A GLSM view on homological projective duality

Zhuo Chen YMSC, Tsinghua University Jirui Guo YMSC, Tsinghua University Mauricio Romo YMSC, Tsinghua University

Category Theory Mathematical Physics Algebraic Geometry mathscidoc:2205.04001

Communications in Mathematical Physics, 2022.5
[ Download ] [ 2022-05-19 15:49:18 uploaded by jrguo ] [ 94 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] 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

[ Download ] [ 2022-04-15 17:49:55 uploaded by rhmcrae ] [ 113 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[8] On rationality for C_2-cofinite vertex operator algebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04010

[ Download ] [ 2022-04-15 17:45:51 uploaded by rhmcrae ] [ 105 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[9] 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
[ Download ] [ 2022-04-15 17:42:05 uploaded by rhmcrae ] [ 113 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[10] 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

[ Download ] [ 2022-04-15 17:37:45 uploaded by rhmcrae ] [ 94 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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