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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