Quantum Algebra

[26] 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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[27] 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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[28] 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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[29] 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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[30] 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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[31] 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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[32] 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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[33] 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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[34] 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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[35] 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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[36] 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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[37] 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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[38] 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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[39] Cluster Realization of Uq(g) and Factorizations of The Universal R-matrix

Ivan Chi-Ho Ip HKUST

Quantum Algebra mathscidoc:1909.43023

Selecta Mathematica, New Series, 24, (5), 2018
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[40] 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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[41] 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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[42] 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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[43] 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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[44] 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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[45] 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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[46] Quantum Dilogarithm Identities at Root of Unity

Ivan Chi-Ho Ip UST Masahito Yamazaki University of Tokyo

Quantum Algebra mathscidoc:1909.43008

International Mathematics Research Notices, 2016, 2016
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[47] 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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[48] Categorification of quantum symmetric pairs I.

Huanchen Bao Peng Shan Weiqiang Wang Ben Webster

Quantum Algebra mathscidoc:1908.29004

Quantum Topology, 9, 643-714, 2018
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[49] Crystals of fock spaces and cyclotomic rational double affine hecke algebras

Peng Shan Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1908.29003

Ann. Scient. Éc. Norm. Sup., 44, (4), 147, 2011
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[50] 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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