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ZHU, Yong-Chang
朱永昌
(PhD Yale)
Phone: (852) 2358 7447Email: mazhu@ust.hk
Office: Room 3459
Home Page
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Professor
Research Interests
Infinite dimensional Lie algebras; algebras and quantum groups; vertex operator algebras; conformal field theoryTeaching
- MATH3121 Abstract Algebra
- MATH5143 Introduction to Lie Algebras
Selected Publications
Article
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A Construction of Representations of Loop Group and Affine Lie Algebra of sl(n)
- Author(s): Dai, Xuanzhong; Zhu, Yongchang
- Source: Algebras and Representation Theory, 16 March 2021
- Year: 2021
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Addition formula and gamma-factors for local fields
- Author(s): Zhu, Yongchang
- Source: Journal of Number Theory, v. 198, May 2019, p. 52-73
- Year: 2019
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Selberg Integral Over Local Fields
- Author(s): Fu, Zenan; Zhu, Yongchang
- Source: Forum Mathematicum, 2019
- Year: 2019
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LCA(2), Weil index, and Product Formula
- Author(s): Liu, Dongwen; Zhu, Yongchang
- Source: Advances in Mathematics, v. 329, April 2018, p. 1088-1136
- Year: 2018
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A Continuum Model for Dislocation Dynamics Incorporating Frank-Read Sources and Hall-Petch Relation in Two Dimensions
- Author(s): Zhu, Yongchang; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang
- Source: International Journal of Plasticity. , v. 60, September 2014, p. 19-39
- Year: 2014
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On the Central Charge of a Factorizable Hopf Algebra
- Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang
- Source: Advances in Mathematics. , v. 236, March 2013, p. 158-223
- Year: 2013
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Introduction
- Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang
- Source: Memoirs of the American Mathematical Society. , v. 219, (1028), 2012, p. 1-140
- Year: 2012
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On the Siegel-Weil theorem for loop groups, II
- Author(s): Garland, H.; Zhu, Y.
- Source: American journal of mathematics. , v. 133, (6), 2011, p. 1663-1712
- Year: 2011
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ON THE SIEGEL-WEIL THEOREM FOR LOOP GROUPS, I
- Author(s): Garland, Howard; Zhu, Yongchang
- Source: Duke mathematical journal. , v. 157, (2), April 2011, p. 283-336
- Year: 2011
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On the theta functional of Weil representations for symplectic loop groups
- Author(s): Liu, D.; Zhu, Y.
- Source: Journal of Algebra. , v. 324, (11), 2010, p. 3115-3130
- Year: 2010
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Theta functions and Weil representations of loop symplectic groups
- Author(s): Zhu, Yongchang
- Source: Duke mathematical journal. , v. 143, (1), 2008, MAY 15, p. 17-39
- Year: 2008
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On higher Frobenius-Schur indicators
- Author(s): Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang
- Source: Memoirs of the American Mathematical Society. , No. 855, May 2006
- Year: 2006
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Self-dual modules of semisimple Hopf algebras
- Author(s): Kashina, Y.; Sommerhauser, Y.; Zhu, YC
- Source: Journal of algebra. , v. 257, (1), 2002, NOV 1, p. 88-96
- Year: 2002
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The dimension of irreducible modules for transitive module algebras
- Author(s): Zhu, YC
- Source: Communications in algebra. , v. 29, (7), 2001, p. 2877-2886
- Year: 2001
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On Hopf algebras with positive bases
- Author(s): Lu, JH; Yan, M.; Zhu, YC
- Source: Journal of algebra. , v. 237, (2), 2001, MAR 15, p. 421-445
- Year: 2001
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Hecke algebras and Representation Rings of Hopf algebras
- Author(s): Zhu, Yongchang
- Source: AMS/IP, Studies in Advanced Mathematics. , v. 20, 2001
- Year: 2001
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On the set-theoretical Yang-Baxter equation
- Author(s): Lu, JH; Yan, M.; Zhu, YC
- Source: Duke mathematical journal. , v. 104, (1), 2000, JUL 15, p. 1-18
- Year: 2000
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Quasi-triangular structures on Hopf algebras with positive bases
- Author(s): Lu, J.; Yan, M.; Zhu, Yongchang
- Source: Contemporary Math., Amer. math. Soc.. , 2000, p. 339-356
- Year: 2000
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Stabilizer for Hopf algebra actions
- Author(s): Yan, M.; Zhu, YC
- Source: Communications in algebra. , v. 26, (12), 1998, p. 3885-3898
- Year: 1998
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A commuting pair in Hopf algebras
- Author(s): Zhu, Y.
- Source: Proceedings of the American Mathematical Society. , v. 125, (10), 1997, OCT, p. 2847-2851
- Year: 1997
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Modular invariance of characters of vertex operator algebras
- Author(s): Zhu, YC
- Source: Journal of the American Mathematical Society. , v. 9, (1), 1996, JAN, p. 237-302
- Year: 1996
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Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinite-dimensional methods
- Author(s): Dong, C.; Mason, G.; Zhu, Yongchang
- Source: Sympos. Pure Math. , v. 56, (2), p. 295-316, AMS 1994
- Year: 1994
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Weight spaces and root spaces of Kac-Moody algebras
- Author(s): Zhu, Yongchang
- Source: J. Algebra. , v. 168, (3), 1994, p. 936-948
- Year: 1994
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Global Vertex Operators on Riemann Surfaces
- Author(s): Zhu, Yongchang
- Source: Communications in Math. Phys. , v. 165, (3), 1994, p. 485-531
- Year: 1994
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Hopf algebras of prime dimension
- Author(s): Zhu, Yongchang
- Source: Internat. Math. Res. Notices. , (1), 1994, p. 53-59
- Year: 1994
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Vertex operator algebras associated to representations of affine and Virasoro Algebras
- Author(s): Frenkel, I.; Zhu, Yongchang
- Source: Duke Mathematical Journal. , v. 66, p. 123-168, 1992
- Year: 1992
Conference paper
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Weil Representations and Theta Functionals on Surfaces
- Author(s): Zhu, Yongchang
- Source: Contemporary Mathematics. , v. 610, 2014, p. 353-370
- Year: 2014
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An Analogue of Satake Transform for p-adic Loop Groups
- Author(s): Zhu, Yongchang
- Source: Proceedings of international congress of Chinese mathematicians,. , Vol 2, Dec 17-22, 2007.
- Year: 2007