Quantum Algebra

[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
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[2] 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

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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] Classification of Thurston-relation subfactor planar algebras

Corey Jones Ohio State University, Columbus, USA Zhengwei Liu Harvard University, Cambridge, USA Yunxiang Ren Harvard University, Cambridge, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.29002

European Mathematical Society, 10, (3), 441-480, 2019.9
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[11] An angle between intermediate subfactors and its rigidity

Keshab Chandra Bakshi Institute of Mathematical Science, Homi Bhabha National Institute, Chennai, India Sayan Das Department of Mathematics, University of Iowa, Iowa City IA 52242 Zhengwei Liu Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Yunxiang Ren Department of Mathematics, University of Tennessee, Knoxville TN 37996

Quantum Algebra mathscidoc:2207.29001

Transactions of the American Mathematical Society, 371, 5973-5991, 2018.12
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[12] Quon language: surface algebras and Fourier duality

Zhengwei Liu Departments of Mathematics and of Physics, Harvard University, Cambridge, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22003

Communications in Mathematical Physics, 366, 865–894, 2019.3
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[13] Holographic software for quantum networks

Arthur Jaffe Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA Alex Wozniakowski Present address: Current address: School of Physical and Mathematical Sciences and Complexity Institute, Nanyang Technological University, Singapore, 637723, Singapore; Departments of Mathematics and Physics, Harvard University, Cambridge, MA, 02138, USA

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22002

Science China Mathematics, 61, 593–626, 2018.2
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[14] Uncertainty principles for Kac algebras

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29005

Journal of Mathematical Physics, 58, 052102, 2017.5
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[15] Singly generated planar algebras of small dimension, Part III

Dietmar Bisch Department of Mathematics, Vanderbilt University, Nashville TN 37235 Vaughan F. R. Jones Department of Mathematics, Vanderbilt University, Nashville TN 37235 Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29004

Transactions of the American Mathematical Society, 369, (4), 2461–2476, 2016.7
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[16] Planar Para Algebras, Reflection Positivity

Arthur Jaffe Harvard University, Cambridge, MA 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA

Quantum Algebra mathscidoc:2206.29003

Communications in Mathematical Physics, 352, 95-133, 2016.12
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[17] Exchange relation planar algebras of small rank

Zhengwei Liu Department of Mathematics, Vanderbilt University, Nashville TN 37235

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29002

Transactions of the American Mathematical Society, 368, (12), 8303–8348, 2017.12
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[18] 1-Supertransitive Subfactors with Index at Most 6+1/5

Zhengwei Liu Vanderbilt University, Nashville, USA Scott Morrison Mathematical Sciences Institute, Australian National University, Canberra, Australia David Penneys University of California, Los Angeles, USA

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2206.29001

Communications in Mathematical Physics, 334, 889–922, 2014.9
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[19] Some remarks on associated varieties of vertex operator superalgebras

Hao Li

Quantum Algebra mathscidoc:2205.29001

2021.7
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[20] 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

Advances in Mathematics, 413, 108828, 2023.1
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[21] On rationality for C_2-cofinite vertex operator algebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04010

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[22] 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
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[23] 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

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[24] Tensor structure on the Kazhdan-Lusztig category for affine gl(1|1)

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04007

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[25] On ribbon categories for singlet vertex algebras

Thomas Creutzig University of Alberta Robert McRae Tsinghua University Jinwei Yang University of Alberta

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04006

Communications in Mathematical Physics, 387, (2), 865-925, 2021.10
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