Quantum Algebra

[51] Positive Casimir and Central Characters of Split Real Quantum Groups

Ivan Chi-Ho Ip The University of Tokyo

Quantum Algebra mathscidoc:1811.43004

Distinguished Paper Award in 2018

Communications in Mathematical Physics, 2016
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[52] Gauss-lusztig Decomposition for Positive Quantum Groups and Representation by Q-tori

Ivan Chi-Ho Ip UST

Quantum Algebra mathscidoc:1909.43010

Journal of Pure and Applied Algebra, 219, 5650-5672, 2015
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[53] Invariant subsets under compact quantum group actions.

Huichi Huang Chongqing University

Functional Analysis Quantum Algebra mathscidoc:1908.12002

J. Noncommut. Geom., 10, (2), 447-469, 2016
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[54] 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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[55] Counting Unimodular Lattices in $\R^{r,s}$

Shinobu Hosono University of Tokyo Bong H. Lian Brandeis University Keiji Oguiso University of Tokyo Shing-Tung Yau Harvard University

Quantum Algebra mathscidoc:1608.29001

2003
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[56] 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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[57] 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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[58] On Tensor Products of Positive Representations of Split Real Quantum Borel Subalgebra Uqq (bℝ)

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43015

Transactions of the American Mathematical Society, 370, (6)
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[59] 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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[60] 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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[61] On tensor products decomposition of positive representations of Uqq~(sl(2,R))

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43017

Preprint, 2015
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[62] Lower bounds for numbers of real solutions in problems of Schubert calculus

Evgeny Mukhin Indiana University,Purdue University Vitaly Tarasov Indiana University,Purdue University

Quantum Algebra mathscidoc:1911.43038

Acta Mathematica, 217, (1), 177-193, 2016
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[63] 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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[64] 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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[65] 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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[66] 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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[67] 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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[68] 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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[69] 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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[70] 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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[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] Vertex algebraic intertwining operators among generalized Verma modules for affine Lie algebras

Robert McRae Tsinghua University

Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.22002

Advances in Mathematics, 374, 107351, 2020.11
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[73] 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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[74] 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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[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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