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

Addition formula and gammafactors for local fields

Author(s): Zhu, Yongchang

Source: Journal of Number Theory, v. 198, May 2019, p. 5273

Selberg Integral Over Local Fields

Author(s): Fu, Zenan; Zhu, Yongchang

Source: Forum Mathematicum, 2019

LCA(2), Weil index, and Product Formula

Author(s): Liu, Dongwen; Zhu, Yongchang

Source: Advances in Mathematics, v. 329, April 2018, p. 10881136

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

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

Introduction

Author(s): Sommerhaeuser, Yorck; Zhu, Yongchang

Source: Memoirs of the American Mathematical Society. , v. 219, (1028), 2012, p. 1140

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

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

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

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

On higher FrobeniusSchur indicators

Author(s): Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang

Source: Memoirs of the American Mathematical Society. , No. 855, May 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

The dimension of irreducible modules for transitive module algebras

Source: Communications in algebra. , v. 29, (7), 2001, p. 28772886

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

Hecke algebras and Representation Rings of Hopf algebras

Author(s): Zhu, Yongchang

Source: AMS/IP, Studies in Advanced Mathematics. , v. 20, 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

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

Stabilizer for Hopf algebra actions

Author(s): Yan, M.; Zhu, YC

Source: Communications in algebra. , v. 26, (12), 1998, p. 38853898

A commuting pair in Hopf algebras

Source: Proceedings of the American Mathematical Society. , v. 125, (10), 1997, OCT, p. 28472851

Modular invariance of characters of vertex operator algebras

Source: Journal of the American Mathematical Society. , v. 9, (1), 1996, JAN, p. 237302

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

Weight spaces and root spaces of KacMoody algebras

Author(s): Zhu, Yongchang

Source: J. Algebra. , v. 168, (3), 1994, p. 936948

Global Vertex Operators on Riemann Surfaces

Author(s): Zhu, Yongchang

Source: Communications in Math. Phys. , v. 165, (3), 1994, p. 485531

Hopf algebras of prime dimension

Author(s): Zhu, Yongchang

Source: Internat. Math. Res. Notices. , (1), 1994, p. 5359

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
Conference paper

Weil Representations and Theta Functionals on Surfaces

Author(s): Zhu, Yongchang

Source: Contemporary Mathematics. , v. 610, 2014, p. 353370

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.

