Faculty Profiles - ZHU Yongchang | The Hong Kong University of Science and Technology

Yongchang ZHU
朱永昌

PhD in Mathematics
Yale University, 1990

Professor
Department of Mathematics

(852) 2358 7447
mazhu@ust.hk
Room 3459
Personal Web

Google Scholar

i0Yurh8AAAAJ

ORCID

0000-0003-2179-3284

Scopus ID

56172333600

Research Interest Publications Projects Teaching Assignment RPG Supervision Space used

Research Interest

Representation theory

Publications

All Years 28 2024 0 2023 0 2022 2 2021 0 2020 0 2019 2 2018 24

2022 2

A Construction of Representations of Loop Group and Affine Lie Algebra of sl(n)

Algebras and Representation Theory, v. 25, (3), June 2022, p. 649-668
Dai, Xuanzhong; Zhu, Yongchang
Article

Theta lifting for loop groups

Duke Mathematical Journal, v. 171, (13), September 2022, p. 2799-2840
Liu, Dongwen; Zhu, Yongchang
Article

2019 2

Addition formula and gamma-factors for local fields

Journal of Number Theory, v. 198, May 2019, p. 52-73
Zhu, Yongchang
Article

Selberg Integral Over Local Fields

Forum Mathematicum, 2019
Fu, Zenan; Zhu, Yongchang
Article

2018 1

LCA(2), Weil index, and Product Formula

Advances in Mathematics, v. 329, April 2018, p. 1088-1136
Liu, Dongwen; Zhu, Yongchang
Article

2014 1

Weil representations and theta functionals on surfaces

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
Zhu, Yongchang
Conference paper

2013 1

On the Central Charge of a Factorizable Hopf Algebra

Advances in Mathematics, v. 236, March 2013, p. 158-223
Sommerhaeuser, Yorck; Zhu, Yongchang
Article

2012 1

Introduction

Memoirs of the American Mathematical Society, v. 219, (1028), 2012, p. 1-140
Sommerhaeuser, Yorck; Zhu, Yongchang
Article

2011 2

ON THE SIEGEL-WEIL THEOREM FOR LOOP GROUPS, I

Duke mathematical journal, v. 157, (2), April 2011, p. 283-336
Garland, Howard; Zhu, Yongchang
Article

On the Siegel-Weil theorem for loop groups, II

American journal of mathematics, v. 133, (6), 2011, p. 1663-1712
Garland, H.; Zhu, Y.
Article

2010 1

On the theta functional of Weil representations for symplectic loop groups

Journal of Algebra, v. 324, (11), 2010, p. 3115-3130
Liu, D.; Zhu, Y.
Article

2008 1

Theta functions and Weil representations of loop symplectic groups

Duke mathematical journal, v. 143, (1), 2008, MAY 15, p. 17-39
Zhu, Yongchang
Article

2007 1

An Analogue of Satake Transform for p-adic Loop Groups

Proceedings of international congress of Chinese mathematicians,, Vol 2, Dec 17-22, 2007.
Zhu, Yongchang
Conference paper

2006 1

On higher Frobenius-Schur indicators

Memoirs of the American Mathematical Society, No. 855, May 2006
Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang
Article

2002 1

Self-dual modules of semisimple Hopf algebras

Journal of algebra, v. 257, (1), 2002, NOV 1, p. 88-96
Kashina, Y.; Sommerhauser, Y.; Zhu, YC
Article

2001 3

Hecke algebras and Representation Rings of Hopf algebras

AMS/IP, Studies in Advanced Mathematics, v. 20, 2001
Zhu, Yongchang
Article

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC
Article

The dimension of irreducible modules for transitive module algebras

Communications in algebra, v. 29, (7), 2001, p. 2877-2886
Zhu, YC
Article

2000 2

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC
Article

Quasi-triangular structures on Hopf algebras with positive bases

Contemporary Math., Amer. math. Soc., 2000, p. 339-356
Lu, J.; Yan, M.; Zhu, Yongchang
Article

1998 1

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC
Article

1997 1

A commuting pair in Hopf algebras

Proceedings of the American Mathematical Society, v. 125, (10), 1997, OCT, p. 2847-2851
Zhu, Y.
Article

1996 1

Modular invariance of characters of vertex operator algebras

Journal of the American Mathematical Society, v. 9, (1), 1996, JAN, p. 237-302
Zhu, YC
Article

1994 4

Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinite-dimensional methods

Sympos. Pure Math, v. 56, (2), p. 295-316, AMS 1994
Dong, C.; Mason, G.; Zhu, Yongchang
Article

Global Vertex Operators on Riemann Surfaces

Communications in Math. Phys, v. 165, (3), 1994, p. 485-531
Zhu, Yongchang
Article

Hopf algebras of prime dimension

Internat. Math. Res. Notices, (1), 1994, p. 53-59
Zhu, Yongchang
Article

Weight spaces and root spaces of Kac-Moody algebras

J. Algebra, v. 168, (3), 1994, p. 936-948
Zhu, Yongchang
Article

1992 1

Vertex operator algebras associated to representations of affine and Virasoro Algebras

Duke Mathematical Journal, v. 66, p. 123-168, 1992
Frenkel, I.; Zhu, Yongchang
Article

Article 2

A Construction of Representations of Loop Group and Affine Lie Algebra of sl(n)

Algebras and Representation Theory, v. 25, (3), June 2022, p. 649-668
Dai, Xuanzhong; Zhu, Yongchang

Theta lifting for loop groups

Duke Mathematical Journal, v. 171, (13), September 2022, p. 2799-2840
Liu, Dongwen; Zhu, Yongchang

Article 2

Addition formula and gamma-factors for local fields

Journal of Number Theory, v. 198, May 2019, p. 52-73
Zhu, Yongchang

Selberg Integral Over Local Fields

Forum Mathematicum, 2019
Fu, Zenan; Zhu, Yongchang

Article 1

LCA(2), Weil index, and Product Formula

Advances in Mathematics, v. 329, April 2018, p. 1088-1136
Liu, Dongwen; Zhu, Yongchang

Conference paper 1

Weil representations and theta functionals on surfaces

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
Zhu, Yongchang

Article 1

On the Central Charge of a Factorizable Hopf Algebra

Advances in Mathematics, v. 236, March 2013, p. 158-223
Sommerhaeuser, Yorck; Zhu, Yongchang

Article 1

Introduction

Memoirs of the American Mathematical Society, v. 219, (1028), 2012, p. 1-140
Sommerhaeuser, Yorck; Zhu, Yongchang

Article 2

ON THE SIEGEL-WEIL THEOREM FOR LOOP GROUPS, I

Duke mathematical journal, v. 157, (2), April 2011, p. 283-336
Garland, Howard; Zhu, Yongchang

On the Siegel-Weil theorem for loop groups, II

American journal of mathematics, v. 133, (6), 2011, p. 1663-1712
Garland, H.; Zhu, Y.

Article 1

On the theta functional of Weil representations for symplectic loop groups

Journal of Algebra, v. 324, (11), 2010, p. 3115-3130
Liu, D.; Zhu, Y.

Article 1

Theta functions and Weil representations of loop symplectic groups

Duke mathematical journal, v. 143, (1), 2008, MAY 15, p. 17-39
Zhu, Yongchang

Conference paper 1

An Analogue of Satake Transform for p-adic Loop Groups

Proceedings of international congress of Chinese mathematicians,, Vol 2, Dec 17-22, 2007.
Zhu, Yongchang

Article 1

On higher Frobenius-Schur indicators

Memoirs of the American Mathematical Society, No. 855, May 2006
Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang

Article 1

Self-dual modules of semisimple Hopf algebras

Journal of algebra, v. 257, (1), 2002, NOV 1, p. 88-96
Kashina, Y.; Sommerhauser, Y.; Zhu, YC

Article 3

Hecke algebras and Representation Rings of Hopf algebras

AMS/IP, Studies in Advanced Mathematics, v. 20, 2001
Zhu, Yongchang

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC

The dimension of irreducible modules for transitive module algebras

Communications in algebra, v. 29, (7), 2001, p. 2877-2886
Zhu, YC

Article 2

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC

Quasi-triangular structures on Hopf algebras with positive bases

Contemporary Math., Amer. math. Soc., 2000, p. 339-356
Lu, J.; Yan, M.; Zhu, Yongchang

Article 1

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC

Article 1

A commuting pair in Hopf algebras

Proceedings of the American Mathematical Society, v. 125, (10), 1997, OCT, p. 2847-2851
Zhu, Y.

Article 1

Modular invariance of characters of vertex operator algebras

Journal of the American Mathematical Society, v. 9, (1), 1996, JAN, p. 237-302
Zhu, YC

Article 4

Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinite-dimensional methods

Sympos. Pure Math, v. 56, (2), p. 295-316, AMS 1994
Dong, C.; Mason, G.; Zhu, Yongchang

Global Vertex Operators on Riemann Surfaces

Communications in Math. Phys, v. 165, (3), 1994, p. 485-531
Zhu, Yongchang

Hopf algebras of prime dimension

Internat. Math. Res. Notices, (1), 1994, p. 53-59
Zhu, Yongchang

Weight spaces and root spaces of Kac-Moody algebras

J. Algebra, v. 168, (3), 1994, p. 936-948
Zhu, Yongchang

Article 1

Vertex operator algebras associated to representations of affine and Virasoro Algebras

Duke Mathematical Journal, v. 66, p. 123-168, 1992
Frenkel, I.; Zhu, Yongchang

2018 1

LCA(2), Weil index, and Product Formula

Advances in Mathematics, v. 329, April 2018, p. 1088-1136
Liu, Dongwen; Zhu, Yongchang
Article

2014 1

Weil representations and theta functionals on surfaces

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
Zhu, Yongchang
Conference paper

2013 1

On the Central Charge of a Factorizable Hopf Algebra

Advances in Mathematics, v. 236, March 2013, p. 158-223
Sommerhaeuser, Yorck; Zhu, Yongchang
Article

2012 1

Introduction

Memoirs of the American Mathematical Society, v. 219, (1028), 2012, p. 1-140
Sommerhaeuser, Yorck; Zhu, Yongchang
Article

2011 2

ON THE SIEGEL-WEIL THEOREM FOR LOOP GROUPS, I

Duke mathematical journal, v. 157, (2), April 2011, p. 283-336
Garland, Howard; Zhu, Yongchang
Article

On the Siegel-Weil theorem for loop groups, II

American journal of mathematics, v. 133, (6), 2011, p. 1663-1712
Garland, H.; Zhu, Y.
Article

2010 1

On the theta functional of Weil representations for symplectic loop groups

Journal of Algebra, v. 324, (11), 2010, p. 3115-3130
Liu, D.; Zhu, Y.
Article

2008 1

Theta functions and Weil representations of loop symplectic groups

Duke mathematical journal, v. 143, (1), 2008, MAY 15, p. 17-39
Zhu, Yongchang
Article

2007 1

An Analogue of Satake Transform for p-adic Loop Groups

Proceedings of international congress of Chinese mathematicians,, Vol 2, Dec 17-22, 2007.
Zhu, Yongchang
Conference paper

2006 1

On higher Frobenius-Schur indicators

Memoirs of the American Mathematical Society, No. 855, May 2006
Kashina, Y.; Sommerhauser, Y.; Zhu, Yongchang
Article

2002 1

Self-dual modules of semisimple Hopf algebras

Journal of algebra, v. 257, (1), 2002, NOV 1, p. 88-96
Kashina, Y.; Sommerhauser, Y.; Zhu, YC
Article

2001 3

Hecke algebras and Representation Rings of Hopf algebras

AMS/IP, Studies in Advanced Mathematics, v. 20, 2001
Zhu, Yongchang
Article

On Hopf algebras with positive bases

Journal of algebra, v. 237, (2), 2001, MAR 15, p. 421-445
Lu, JH; Yan, M.; Zhu, YC
Article

The dimension of irreducible modules for transitive module algebras

Communications in algebra, v. 29, (7), 2001, p. 2877-2886
Zhu, YC
Article

2000 2

On the set-theoretical Yang-Baxter equation

Duke mathematical journal, v. 104, (1), 2000, JUL 15, p. 1-18
Lu, JH; Yan, M.; Zhu, YC
Article

Quasi-triangular structures on Hopf algebras with positive bases

Contemporary Math., Amer. math. Soc., 2000, p. 339-356
Lu, J.; Yan, M.; Zhu, Yongchang
Article

1998 1

Stabilizer for Hopf algebra actions

Communications in algebra, v. 26, (12), 1998, p. 3885-3898
Yan, M.; Zhu, YC
Article

1997 1

A commuting pair in Hopf algebras

Proceedings of the American Mathematical Society, v. 125, (10), 1997, OCT, p. 2847-2851
Zhu, Y.
Article

1996 1

Modular invariance of characters of vertex operator algebras

Journal of the American Mathematical Society, v. 9, (1), 1996, JAN, p. 237-302
Zhu, YC
Article

1994 4

Discrete series of the Virasoro algebra and the moonshine module, In: Algebraic groups and their generalizations: quantum and infinite-dimensional methods

Sympos. Pure Math, v. 56, (2), p. 295-316, AMS 1994
Dong, C.; Mason, G.; Zhu, Yongchang
Article

Global Vertex Operators on Riemann Surfaces

Communications in Math. Phys, v. 165, (3), 1994, p. 485-531
Zhu, Yongchang
Article

Hopf algebras of prime dimension

Internat. Math. Res. Notices, (1), 1994, p. 53-59
Zhu, Yongchang
Article

Weight spaces and root spaces of Kac-Moody algebras

J. Algebra, v. 168, (3), 1994, p. 936-948
Zhu, Yongchang
Article

1992 1

Vertex operator algebras associated to representations of affine and Virasoro Algebras

Duke Mathematical Journal, v. 66, p. 123-168, 1992
Frenkel, I.; Zhu, Yongchang
Article

No Publications

Teaching Assignment

2024-25 Fall 0 2023-24 Summer 0 2023-24 Spring 1 2023-24 Winter 0 2023-24 Fall 2 2022-23 Summer 0

MATH4221

Euclidean and Non-Euclidean Geometries

MATH3121	Abstract Algebra
MATH5143	Introduction to Lie Algebras

No Teaching Assignments

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

Graduated RPGs

Doctor of Philosophy

CHEN, Yanze
Mathematics( Completed in 2022 )

Projects

From January 2022 to December 2024

All Projects 4

No Projects.
Representations and Automorphic Forms of Loop Groups

圈群的表示和自守形 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHU Yongchang (Lead)
2023 -
Unipotent ideals and unipotent representations attached to the model orbit

模軌道對應的冪單理想和冪單表示 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHU Yongchang (Lead)
2021 -
Automorphic forms on loop groups and theta lifting

圈群的自守型和 theta 提升 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHU Yongchang (Lead)
2019 - 2022
Euler-Poincaré presentation of Bernstein Projectors

伯恩斯坦投影算子的歐拉-龐加萊表示 Leading

RGC - General Research Fund
Project Team (HKUST)
ZHU Yongchang (Lead)
2019 - 2022

Research Interest

Publications

2022 2

2019 2

2018 1

2014 1

2013 1

2012 1

2011 2

2010 1

2008 1

2007 1

2006 1

2002 1

2001 3

2000 2

1998 1

1997 1

1996 1

1994 4

1992 1

Article 2

Article 2

Article 1

Conference paper 1

Article 1

Article 1

Article 2

Article 1

Article 1

Conference paper 1

Article 1

Article 1

Article 3

Article 2

Article 1

Article 1

Article 1

Article 4

Article 1

2018 1

2014 1

2013 1

2012 1

2011 2

2010 1

2008 1

2007 1

2006 1

2002 1

2001 3

2000 2

1998 1

1997 1

1996 1

1994 4

1992 1

Teaching Assignment

Research Postgraduate (RPG) Supervision

From January 2021 to December 2024 (As of 21 November 2024)

Graduated RPGs

Projects

From January 2022 to December 2024

Your browser is out of date!