Quantum Algebra

[26] 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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[27] 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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[28] 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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[29] 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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[30] 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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[31] 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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[32] 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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[33] Canonical bases and quantum coordinate algebras

Li Bin Tsinghua University Hechun Zhang Tsinghua University

Quantum Algebra mathscidoc:1610.29004

Journal of Algebra
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[34] 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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[35] 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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[36] 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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[37] 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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[38] 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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[39] Essential dimension of central simple algebras

Sanghoon Baek Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology Alexander S. Merkurjev Department of Mathematics, University of California, Los Angeles

Quantum Algebra Rings and Algebras mathscidoc:1701.29002

Acta Mathematica, 209, (1), 1-27, 2010.3
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[40] On rationality for C_2-cofinite vertex operator algebras

Robert McRae Tsinghua University

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04010

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[41] 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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[42] Hall algebras of cyclic quivers and q-deformed Fock spaces

Bangming Deng Tsinghua University Jie Xiao Tsinghua University

Quantum Algebra Rings and Algebras mathscidoc:1610.29002

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[43] 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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[44] 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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[45] 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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[46] 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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[47] Ribbon tensor structure on the full representation categories of the singlet vertex algebras

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

Category Theory Mathematical Physics Quantum Algebra Representation Theory mathscidoc:2204.04011

Advances in Mathematics, 413, 108828, 2023.1
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[48] 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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[49] 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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[50] 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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