Spectral Theory and Operator Algebra

[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
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[2] 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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[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
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[4] 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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[5] Non-Commutative R´enyi entropic uncertainty principles

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, MA, 02138, USA Jinsong Wu Institute of Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32002

Science China Mathematics, 63, 2287–2298, 2020.4
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[6] De Finetti theorems for braided parafermions

Kaifeng Bu Harvard University, Cambridge, MA, 02138, USA; Zhejiang University, Hangzhou, China Arthur Jaffe Harvard University, Cambridge, MA, 02138, USA Zhengwei Liu Harvard University, Cambridge, MA, 02138, USA; Tsinghua University, Beijing, China Jinsong Wu Harvard University, Cambridge, MA, 02138, USA; Harbin Institute of Technology, Harbin, China

Functional Analysis Mathematical Physics Probability Spectral Theory and Operator Algebra mathscidoc:2207.12005

Communications in Mathematical Physics, 373, 435–456, 2019.10
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[7] 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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[8] 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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[9] 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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[10] Block maps and Fourier analysis

Chunlan Jiang Department of Mathematics, Hebei Normal University, Shijiazhuang 050024, China Zhengwei Liu Department of Physics and Department of Mathematics, Harvard University, Cambridge, MA 02138, USA Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin 150001, China

Spectral Theory and Operator Algebra mathscidoc:2207.32001

Science China Mathematics, 62, (8), 1585, 2019.7
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[11] 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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[12] Young's inequality for locally compact quantum groups

Zhengwei Liu Department of Mathematics and Department of Physics, Harvard University, Cambridge, 02138, U.S.A. Simeng Wang Laboratoire de Mathematiques, Universite de Franche -Comte, Besancon Cedex, 25030, France and Institute of Mathematics, Polish Academy of Sciences, ul. Sniadeckin 8, 00-956 Warszawa, Poland Jinsong Wu School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, P.R. China

Spectral Theory and Operator Algebra mathscidoc:2206.32001

Journal of Operator Theory, 77, (1), 109-131, 2017.12
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[13] 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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[14] 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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[15] 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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[16] 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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[17] Categorical extensions of conformal nets

Bin Gui Department of Mathematics, Rutgers University, New Brunswick, NJ, USA

Category Theory Spectral Theory and Operator Algebra mathscidoc:2203.04001

Communications in Mathematical Physics, 383, (2), 763-839, 2020.11
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[18] The number of closed ideals in L(L_p)

William B. Johnson Department of Mathematics, Texas A&M University, College Station, Tx., U.S.A. Gideon Schechtman Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel

Functional Analysis Spectral Theory and Operator Algebra mathscidoc:2203.12001

Acta Mathematica, 227, (1), 103-113, 2021.11
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[19] Uncertainty principles for locally compact quantum groups

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431049

Journal of Functional Analysis, 274, (8), 2399-2445, 2018.4
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[20] Jones-Wassermann subfactors for modular tensor categories

Zhengwei Liu Feng Xu

Spectral Theory and Operator Algebra mathscidoc:1912.431048

Advances in Mathematics, 355, 106775, 2019.10
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[21] Composed inclusions of A3 and A4 subfactors

Zhengwei Liu

Spectral Theory and Operator Algebra mathscidoc:1912.431047

Advances in Mathematics, 279, 307-371, 2015.7
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[22] Noncommutative uncertainty principles

Chunlan Jiang Zhengwei Liu Jinsong Wu

Spectral Theory and Operator Algebra mathscidoc:1912.431046

Journal of Functional Analysis, 270, (1), 264-311, 2016.1
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[23] Time-dependent HermiteGalerkin spectral method and its applications

Xue Luo Shing-Tung Yau Stephen S-T Yau

Spectral Theory and Operator Algebra mathscidoc:1912.43658

Applied Mathematics and Computation, 264, 378-391
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[24] Maximizing Riesz means of anisotropic harmonic oscillators

Simon Larson KTH Royal Institute of Technology

Spectral Theory and Operator Algebra mathscidoc:1912.43033

Arkiv for Matematik, 57, (1), 129-155, 2019
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[25] On the spectrum of the multiplicative Hilbert matrix

Karl-Mikael Perfekt University of Reading Alexander Pushnitski King’s College London

Spectral Theory and Operator Algebra mathscidoc:1912.43010

Arkiv for Matematik, 56, (1), 163 – 183, 2018
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