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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

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

Addition formula and gammafactors for local fields
 Author(s): Zhu, Yongchang
 Source: Journal of Number Theory, v. 198, May 2019, p. 5273
 Year: 2019

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

LCA(2), Weil index, and Product Formula
 Author(s): Liu, Dongwen; Zhu, Yongchang
 Source: Advances in Mathematics, v. 329, April 2018, p. 10881136
 Year: 2018

A Continuum Model for Dislocation Dynamics Incorporating FrankRead Sources and HallPetch Relation in Two Dimensions
 Author(s): Zhu, Yongchang; Wang, Hanquan; Zhu, Xiaohong; Xiang, Yang
 Source: International Journal of Plasticity. , v. 60, September 2014, p. 1939
 Year: 2014

On the Central Charge of a Factorizable Hopf Algebra
 Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang
 Source: Advances in Mathematics. , v. 236, March 2013, p. 158223
 Year: 2013

Introduction
 Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang
 Source: Memoirs of the American Mathematical Society. , v. 219, (1028), 2012, p. 1140
 Year: 2012

On the SiegelWeil theorem for loop groups, II
 Author(s): Garland, H.; Zhu, Y.
 Source: American journal of mathematics. , v. 133, (6), 2011, p. 16631712
 Year: 2011

ON THE SIEGELWEIL THEOREM FOR LOOP GROUPS, I
 Author(s): Garland, Howard; Zhu, Yongchang
 Source: Duke mathematical journal. , v. 157, (2), April 2011, p. 283336
 Year: 2011

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. 31153130
 Year: 2010

Theta functions and Weil representations of loop symplectic groups
 Author(s): Zhu, Yongchang
 Source: Duke mathematical journal. , v. 143, (1), 2008, MAY 15, p. 1739
 Year: 2008

On higher FrobeniusSchur indicators
 Author(s): Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang
 Source: Memoirs of the American Mathematical Society. , No. 855, May 2006
 Year: 2006

Selfdual modules of semisimple Hopf algebras
 Author(s): Kashina, Y.; Sommerhauser, Y.; Zhu, YC
 Source: Journal of algebra. , v. 257, (1), 2002, NOV 1, p. 8896
 Year: 2002

The dimension of irreducible modules for transitive module algebras
 Author(s): Zhu, YC
 Source: Communications in algebra. , v. 29, (7), 2001, p. 28772886
 Year: 2001

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. 421445
 Year: 2001

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

On the settheoretical YangBaxter equation
 Author(s): Lu, JH; Yan, M.; Zhu, YC
 Source: Duke mathematical journal. , v. 104, (1), 2000, JUL 15, p. 118
 Year: 2000

Quasitriangular structures on Hopf algebras with positive bases
 Author(s): Lu, J.; Yan, M.; Zhu, Yongchang
 Source: Contemporary Math., Amer. math. Soc.. , 2000, p. 339356
 Year: 2000

Stabilizer for Hopf algebra actions
 Author(s): Yan, M.; Zhu, YC
 Source: Communications in algebra. , v. 26, (12), 1998, p. 38853898
 Year: 1998

A commuting pair in Hopf algebras
 Author(s): Zhu, Y.
 Source: Proceedings of the American Mathematical Society. , v. 125, (10), 1997, OCT, p. 28472851
 Year: 1997

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. 237302
 Year: 1996

Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinitedimensional methods
 Author(s): Dong, C.; Mason, G.; Zhu, Yongchang
 Source: Sympos. Pure Math. , v. 56, (2), p. 295316, AMS 1994
 Year: 1994

Weight spaces and root spaces of KacMoody algebras
 Author(s): Zhu, Yongchang
 Source: J. Algebra. , v. 168, (3), 1994, p. 936948
 Year: 1994

Global Vertex Operators on Riemann Surfaces
 Author(s): Zhu, Yongchang
 Source: Communications in Math. Phys. , v. 165, (3), 1994, p. 485531
 Year: 1994

Hopf algebras of prime dimension
 Author(s): Zhu, Yongchang
 Source: Internat. Math. Res. Notices. , (1), 1994, p. 5359
 Year: 1994

Vertex operator algebras associated to representations of affine and Virasoro Algebras
 Author(s): Frenkel, I.; Zhu, Yongchang
 Source: Duke Mathematical Journal. , v. 66, p. 123168, 1992
 Year: 1992
Conference paper

Weil Representations and Theta Functionals on Surfaces
 Author(s): Zhu, Yongchang
 Source: Contemporary Mathematics. , v. 610, 2014, p. 353370
 Year: 2014

An Analogue of Satake Transform for padic Loop Groups
 Author(s): Zhu, Yongchang
 Source: Proceedings of international congress of Chinese mathematicians,. , Vol 2, Dec 1722, 2007.
 Year: 2007