mazhu

ZHU, Yong-Chang
朱永昌

(PhD Yale)

Phone: (852) 2358 7447
Email: mazhu@ust.hk
Office: Room 3459
Home Page

Professor



Research Interests

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

Teaching

  • MATH3131  Honors in Linear and Abstract Algebra II
  • MATH5112  Advanced Algebra II

Selected Publications

  Article

  1. Weil representations of twisted loop groups of type A n (2)
    • Author(s): Chen, Yanze; Zhu, Yongchang
    • Source: Forum Mathematicum, January 2025
    • Year: 2025

  2. Theta lifting for loop groups
    • Author(s): Liu, Dongwen; Zhu, Yongchang
    • Source: Duke Mathematical Journal, v. 171, (13), September 2022, p. 2799-2840
    • Year: 2022

  3. 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, v. 25, (3), June 2022, p. 649-668
    • Year: 2022

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

  5. 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

  6. 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

  7. 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

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

  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 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

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

  18. 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

  19. 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

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

  21. 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

  22. 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

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

  26. 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

  27. 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: Perspectives in Representation Theory: A Conference in Honor of Igor Frenkel's 60th Birthday on Perspectives in Representation Theory, 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