Department of Mathematics, HKUST  

  ZHU, Yong-Chang   朱永昌

  PhD Yale

Office: Room 3459  

Telephone: 7447  

Email: mazhu@ust.hk  

URL:
https://www.math.hkust.edu.hk/~mazhu   
  Professor

Teaching

  • MATH3121  Abstract Algebra
  • MATH6150L  Introduction to Modular Forms and Automorphic Forms

Research Interests

  • Infinite dimensional Lie algebras; algebras and quantum groups; vertex operator algebras; conformal field theory

       Selected Publications

Full Publication List [HKUST Scholarly Publications]  

Article   

  1. 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

  2. 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

  3. Selberg Integral Over Local Fields
    • Author(s): Fu, Zenan; Zhu, Yongchang
    • Source: Forum Mathematicum, 2019
    • Year: 2019

  4. 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

  5. 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

  6. 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

  7. Introduction
    • Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang
    • Source: Memoirs of the American Mathematical Society. , v. 219, (1028), 2012, p. 1-140
    • Year: 2012

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. Hecke algebras and Representation Rings of Hopf algebras
    • Author(s): Zhu, Yongchang
    • Source: AMS/IP, Studies in Advanced Mathematics. , v. 20, 2001
    • Year: 2001

  17. 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

  18. 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

  19. Stabilizer for Hopf algebra actions
    • Author(s): Yan, M.; Zhu, YC
    • Source: Communications in algebra. , v. 26, (12), 1998, p. 3885-3898
    • Year: 1998

  20. 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

  21. 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

  22. 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

  23. 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

  24. Global Vertex Operators on Riemann Surfaces
    • Author(s): Zhu, Yongchang
    • Source: Communications in Math. Phys. , v. 165, (3), 1994, p. 485-531
    • Year: 1994

  25. Hopf algebras of prime dimension
    • Author(s): Zhu, Yongchang
    • Source: Internat. Math. Res. Notices. , (1), 1994, p. 53-59
    • Year: 1994

  26. 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   

  1. Weil Representations and Theta Functionals on Surfaces
    • Author(s): Zhu, Yongchang
    • Source: Contemporary Mathematics. , v. 610, 2014, p. 353-370
    • Year: 2014

  2. 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