Quantum Algebra

[51] Koszul duality of affine Kac-Moody algebras and cyclotomic rational double affine Hecke algebras

Raphaël Rouquier UCLA Peng Shan Tsinghua University Michela Varagnolo University of Cergy-Pontoise

Quantum Algebra Representation Theory mathscidoc:1908.29001

Advances in Mathematics, 262, 370-435, 2014
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[52] 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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[53] 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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[54] 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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[55] Classification of holomorphic framed vertex operator algebras of central charge 24

Ching Hung Lam ACADEMIA SINICA Hiroki Shimakura TOHOKU UNIVERSITY

Quantum Algebra mathscidoc:1811.43002

Distinguished Paper Award in 2018

American Journal of Mathematics, 137, (1), 2015
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[56] Kapranov's Construction of Homotopy Leibniz Algebras

Zhuo Chen Tsinghua University Zhangju Liu Peking University MAOSONG XIANG Peking University

Quantum Algebra mathscidoc:1809.29001

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[57] On the center of quiver Hecke algebras

Peng Shan Tsinghua University Michela Varagnolo University of Cergy-Pontoise Eric Vasserot University of Paris Diderot

Group Theory and Lie Theory Quantum Algebra Representation Theory mathscidoc:1806.17001

Best Paper Award in 2018

Duke Math J., 166, (6), 1005–1101, 2017
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[58] Canonical bases arising from quantum symmetric pairs

Huanchen Bao University of Maryland, College Park Weiqiang Wang University of Virginia

Quantum Algebra mathscidoc:1804.29001

Best Paper Award in 2018

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[59] Weak Lie 2-bialgebras

Zhuo Chen Tsinghua University Mathieu Stienon Pennsylvania State University Ping Xu Pennsylvania State University

Quantum Algebra Rings and Algebras mathscidoc:1803.29001

Journal of Geometry and Physics, 68, 59-68, 2013.8
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[60] Gromov--Witten theory of Fano orbifold curves, Gamma integral structures and ADE-Toda Hierarchies

Todor Milanov IPMU Yefeng Shen IPMU Hsian-Hua Tseng Ohio State University

Mathematical Physics Quantum Algebra Representation Theory Symplectic Geometry mathscidoc:1801.01004

Geometry and Topology, 20, 2135--2218, 2016
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[61] Heisenberg algebras and rational double affine Hecke algebras

Peng Shan Université Paris 7 Eric Vasserot Université Paris 7

Quantum Algebra Representation Theory mathscidoc:1707.29002

Distinguished Paper Award in 2017

Journal of the American Mathematical Society, 25, (4), 959-1031, 2012
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[62] Categorifications and cyclotomic rational double affine Hecke algebras

Raphaël Rouquier UCLA Peng Shan CNRS, Université Paris Sud Michela Varagnolo Université de Cergy-Pontoise Eric Vasserot Université Paris Diderot-Paris 7

Quantum Algebra Representation Theory mathscidoc:1707.29001

Silver Award Paper in 2017

Invent. Math., 204, 671-786, 2016
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[63] Ding-Iohara algebras and quantum vertex algebras

Haisheng Li Rutgers University shaobin Tan Xiamen University Qing Wang Xiamen University

Quantum Algebra Representation Theory mathscidoc:1706.29001

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[64] A Wozniakowski, and AM Jaffe, Quon 3D language for quantum information

Zhengwei Liu Harvard University, Vanderbilt University Alex Wozniakowski Harvard University Arthur M. Jaffe Harvard University

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.22001

Distinguished Paper Award in 2017

PNAS, 114, (10), 2497-2502, 2017
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[65] Composed inclusions of A3 and A4subfactors

ZhengweiLiu Vanderbilt University

Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:1705.29001

Distinguished Paper Award in 2017

AdvancesinMathematics, 279, 307–371, 2015
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[66] A parameterization of the canonical bases of affine modified quantized enveloping algebras

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29005

Chinese Annals of Mathematics, Series B, 37, (2), 235-258, 2016
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[67] BGP-Reflection Functors and Lusztig's Symmetries of Modified Quantized Enveloping Algebras

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29004

Acta Mathematica Sinica, English Series, 29, (10), 1833-1856, 2013
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[68] Geometric realizations of Lusztig's symmetries of symmetrizable quantum groups

Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29003

Algebras and Representation Theory, 2017
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[69] Geometric realizations of Lusztig's symmetries

Jie Xiao Tsinghua University Minghui Zhao Beijing Forestry University

Quantum Algebra Representation Theory mathscidoc:1702.29002

Distinguished Paper Award in 2017

Journal of Algebra, 475, 392-422, 2017.4
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[70] Weak Hopf Algebras and Singular Solutions of Quantum Yang–Baxter Equation

Fang Li Zhejiang University Steven Duplij Kharkov National University

Quantum Algebra mathscidoc:1702.29001

Communications in Mathematical Physcis, 225, 27, 2002
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[71] Parabolic Presentations of the Super Yangian Y(glM|N) Associated with Arbitrary 01-Sequences

Yung-Ning Peng National Central University

Mathematical Physics Quantum Algebra mathscidoc:1701.22006

Communications in Mathematical Physics, 346, 313-347, 2016.1
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[72] Parabolic Presentations of the Super Yangian Y (glM|N)

Yung-Ning Peng

Mathematical Physics Quantum Algebra mathscidoc:1701.22005

Communications in Mathematical Physics, 307, 229-259, 2011.8
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[73] Un scindage du morphisme de Frobenius quantique

Michel Gros IRMAR, Université de Rennes I Masaharu Kaneda Department of Mathematics, Osaka City University

Quantum Algebra mathscidoc:1701.29005

Arkiv for Matematik, 53, (2), 271-301, 2014.8
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[74] The Alexander polynomial as quantum invariant of links

Antonio Sartori Mathematisches Institut, Universität Bonn

Quantum Algebra Representation Theory mathscidoc:1701.29004

Arkiv for Matematik, 53, (1), 177-202, 2013.8
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[75] Strict comparison and $$ \mathcal{Z} $$ -absorption of nuclear$C$^{∗}-algebras

Hiroki Matui Graduate School of Science, Chiba University Yasuhiko Sato Graduate School of Science, Kyoto University

Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:1701.29003

Acta Mathematica, 209, (1), 179-196, 2011.11
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