Quantum Algebra

[51] Direct limit completions of vertex tensor categories

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

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04005

Communications in Contemporary Mathematics, 24, (2), 2150033, 2022.3
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[52] Faithful compact quantum group actions on connected compact metrizable spaces.

Huichi Huang SUNY at Buffalo

Functional Analysis Quantum Algebra mathscidoc:1908.12001

J. Geom. Phys., 70, 232–236, 2013
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[53] Cluster Realization of Positive Representations of a Split Real Quantum Borel Subalgebra

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43021

Theoretical and Mathematical Physics(Russian Federation), 198, (2), 215-238, 2019
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[54] Positive Representations of Split Real Quantum Groups: The Universal R Operator

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43011

International Mathematics Research Notices, 2015, 240-287, 2015
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[55] Graded decomposition matrices of v-schur algebras via jantzen filtration

Peng Shan Université Paris 7

Quantum Algebra mathscidoc:1908.29005

REPRESENTATION THEORY , 16, 212-269, 2012.4
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[56] Kapranov's L∞ structures, Fedosov's star products and one-loop exact BV quantizations on Kähler manifolds

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:2009.29001

Commun. Number Theory Phys., 16, (2), 299-351, 2022.4
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[57] Positive Representations of Non-simply-laced Split Real Quantum Groups

Ivan Chi-Ho Ip UST

Quantum Algebra mathscidoc:1909.43009

Journal of Algebra, 425, 2015
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[58] 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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[59] A geometric construction of representations of the Berezin-Toeplitz 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

Mathematical Physics Quantum Algebra mathscidoc:2002.22001

Advances in Theoretical and Mathematical Physics, 26, (1), 2022.1
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[60] Finite W-superalgebras via super Yangians

Yung-Ning Peng National Central University

Quantum Algebra Representation Theory mathscidoc:2103.29001

Advances in Mathematics, 377, 107459, 2021
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[61] Canonical bases and affine Hecke algebras of type D

Peng Shan Université Paris 7 Michela Varagnolo Université de Cergy-Pontoise Éric Vasserot Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1908.29002

Advances in Mathematics, 227, 267-291, 2011
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[62] Tensor categories for vertex operator superalgebra extensions

Thomas Creutzig University of Alberta Shashank Kanade University of Alberta and University of Denver Robert McRae Vanderbilt University and Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory arXiv subject: Mathematical Physics (math-ph) arXiv subject: Representation Theory (math.RT) arXiv subject: Quantum Algebra (math.QA) mathscidoc:2204.04001

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[63] Gluing vertex algebras

Thomas Creutzig University of Alberta Shashank Kanade University of Denver Robert McRae Vanderbilt University and Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04003

Advances in Mathematics, 396, 108174, 2022.2
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[64] 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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[65] 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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[66] Counting Unimodular Lattices in $\R^{r, s} $

Shinobu Hosono Bong H Lian Keiji Oguiso Shing-Tung Yau

Quantum Algebra mathscidoc:1912.43706

arXiv preprint math/0301095, 2003.1
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[67] New structure for orthogonal quantum group invariants

Qingtao Chen Kefeng Liu

Quantum Algebra mathscidoc:1912.43129

Proceedings of the American Mathematical Society, 143, (8), 3645-3657, 2015
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[68] Proof of the Labastida-Marino-Ooguri-Vafa conjecture

Kefeng Liu Pan Peng

Quantum Algebra mathscidoc:1912.43054

Journal of Differential Geometry, 85, (3), 479-525, 2010
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[69] Some remarks on associated varieties of vertex operator superalgebras

Hao Li

Quantum Algebra mathscidoc:2205.29001

2021.7
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[70] Twisted modules and G-equivariantization in logarithmic conformal field theory

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04004

Communications in Mathematical Physics, 383, (3), 1939-2019, 2021.5
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[71] 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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[72] 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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[73] 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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[74] On the tensor structure of modules for compact orbifold vertex operator algebras

Robert McRae Vanderbilt University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04002

Mathematische Zeitschrift, 296, 409-452, 2020.10
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[75] 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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