Article

Dirac Cohomology and Character Lifting

Author(s): Huang, Jingsong

Source: Acta Mathematica Sinica, English Series, 22 January 2021

HarishChandra's orthogonality relations for admissible representations

Author(s): Huang, Jingsong ; Milicic, Dragan; Sun, Binyong

Source: Journal of the European Mathematical Society, v. 22, (4), 2020, p. 10951113

Generalized Fourier Transforms Associated with the Oscillator Representation

Author(s): Huang, Jingsong ; Zhou, Ling

Source: Journal of Fourier Analysis and Applications, 11 April 2019, p. 119

A Casselmanosborne Theorem for Rational Cherednik Algebras

Author(s): Huang, Jingsong ; Wong, Kayue Daniel

Source: Transformation Groups. , v. 23, (1), March 2018, p. 7599

On Borelde Siebenthal representations

Author(s): Huang, Jingsong ; Luan, Yongzhi; Sun, Binyong

Source: International Mathematics Research Notices, v. 2018, 12 January 2018, article number rnx304

On Classifying Unitary Modules by Their Dirac Cohomology

Author(s): Huang, Jing Song; Pandzic, Pavle; Vogan, David

Source: SCIENCE CHINAMATHEMATICS. , v.60, (11), November 2017, p. 19371962

Dirac Cohomology and Geometric Quantization

Author(s): Chuah, Meng Kiat; Huang, Jing Song

Source: Journal fur die Reine und Angewandte Mathematik. , v. 2016, (720), November 2016, p. 3350

Dirac cohomology of cohomologically induced modules for reductive lie groups

Author(s): Dong, Chao Ping; Huang, Jing Song

Source: American Journal of Mathematics. , v. 137, (1), 2015, p. 3760

Dirac Cohomology and Generalization of Classical Branching Rules

Author(s): Huang, Jing Song

Source: Developments in Mathematics: Developments and Retrospectives in Lie Theory: Algebraic Methods. , v. 38, September 2014, p. 207228

Klein foursubgroups of lie algebra automorphisms

Author(s): Huang, Jing Song; Yu, Jun

Source: Pacific Journal of Mathematics. , v. 262, (2), 2013, p. 397420

Dirac Cohomology, Kcharacters and Branching Laws

Author(s): Huang, Jing Song; Pandzic, Pavle; Zhu, Fuhai

Source: American Journal of Mathematics. , v. 135, (5), October 2013, p. 12531269

Dirac Cohomology of Highest Weight Modules

Author(s): Huang, Jing Song; Xiao, Wei

Source: Selecta Mathematica. , v.18, (4), 2012, Dec, p. 803824

Dirac cohomology and Dirac induction

Author(s): Huang, Jing Song

Source: Science China. Mathematics. , v. 54, (11), 2011, p. 23732381

Jacquet modules and Dirac cohomology

Author(s): Dong, Chao Ping; Huang, Jing Song

Source: Advances in mathematics. , v. 226, (4), March 2011, p. 29112934

Dirac cohomology of Wallach representations

Author(s): Huang, Jing Song; Pandzic, Pavle; Protsak, Victor

Source: Pacific journal of mathematics. , v. 250, (1), March 2011, p. 163190

Double vogan diagrams and semisimple symmetric spaces

Author(s): Chuah, Meng Kiat; Huang, Jing Song

Source: Transactions of the American Mathematical Society. , v. 362, (4), 2010, APR, p. 17211750

李群不可约酉表示的分类问题与最新进展

Source: 山东大学学报. 理学版=Journal of Shandong University, v. 44, (4), 2009, p. 14

Dirac cohomology of some harishchandra modules

Author(s): Huang, Jing Song; Kang, Yi Fang; Pandzic, Pavle

Source: Transformation groups. , v. 14, (1), 2009, MAR, p. 163173

Some recent progress in understanding the unitary dual of a Lie group

Author(s): Huang, Jing Song

Source: Journal of Shandong University. , v. 44, 2009

Dirac operators and Lie algebra cohomology

Author(s): Huang, Jing Song; Pandzic, Pavle; Renard, David A.

Source: Representation Theory. , v. 10, 2006, p. 299313

Generalized spherical functions on reductive padic groups

Author(s): Huang, Jing Song; Tadic, Marko

Source: Transactions of the American Mathematical Society. , v. 357, (5), 2005, p. 20812117

Dirac cohomology for Lie superalgebras

Author(s): Huang, Jing Song; Pandzic, Pavle

Source: Transformation groups. , v. 10, (2), 2005, JUN, p. 201209

Dirac operators in representation theory

Author(s): Huang, Jing Song

Source: Algebra Colloquium. , v. 11, (1), 2004, March, p. 3152

Admissible square quadruplets and semisimple symmetric spaces

Author(s): Huang, Jing Song

Source: Advances in mathematics. , v. 165, (1), 2002, January, p. 101123

Dirac cohomology, unitary representations and a proof of a conjecture of Vogan

Author(s): Huang, Jing Song; Pandzic, Pavle

Source: Journal of the American Mathematical Society. , v. 15, (1), 2002, p. 185202

Invariant differential operators and eigenspace representations on an affine symmetric space

Author(s): Huang, Jing Song

Source: Annals of Mathematics. , v. 154, (3), Nov 2011, p. 703737

Unipotent representations attached to spherical nilpotent orbits

Author(s): Huang, Jing Song; Li, JianShu

Source: American journal of mathematics. , v. 121, (3), 1999, June, p. 497517

Weyl's construction and tensor power decomposition for G(2)

Author(s): Huang, Jing Song; Zhu, Chenbo

Source: Proceedings of the American Mathematical Society. , v. 127, (3), 1999, March, p. 925934

Unipotent representations of G(2) arising from the minimal representation of D4(E)

Author(s): Huang, Jing Song; Magaard, Kay; Savin, Gordan

Source: Journal fur die Reine und Angewandte Mathematik. , v. 500, 1998, July, p. 6581

KazhdanPatterson lifting for GL(n,R)

Author(s): Adams, Jeffrey; Huang, Jing Song

Source: Duke mathematical journal. , v. 89, (3), 1997, September, p. 423444

Plancherel formulae for nonsymmetric polar homogeneous spaces

Author(s): Huang, Jing Song

Source: Pacific journal of mathematics. , v. 176, (2), 1996, December, p. 345356

Dimensions of spaces of generalized spherical functions

Author(s): Huang, Jing Song; Oshima, Toshio; Wallach, Nolan R.

Source: American journal of mathematics. , v. 118, (3), 1996, June, p. 637652

Harmonic analysis on compact polar homogeneous spaces

Author(s): Huang, Jing Song

Source: Pacific journal of mathematics. , v. 175, (2), 1996, October, p. 553569

New dual pair correspondences

Author(s): Huang, Jing Song; Pandzic, Pavle; Savin, Gordan

Source: Duke mathematical journal. , v. 82, (2), 1996, February, p. 447471

Minimal Representations, Shared Orbits and Dual Pair Correspondences

Author(s): Huang, Jing Song

Source: International Mathematics Research Notices. , v. 1995, (6), 1995, p. 309323

Intertwining differential operators and irreducibility of generalized Verma modules

Author(s): Huang, Jing Song

Source: Mathematische Annalen. , v. 297, 1993, p. 309324

Metaplectic correspondences and unitary representations

Author(s): Huang, Jing Song

Source: Compositio Mathematica. , v. 80, (3), December 1991, p. 309322

The unitary dual of the universal covering group of GL(n,R)

Author(s): Huang, Jing Song

Source: Duke Mathematical Journal. , v. 61, (3), December 1990, p. 705745
Book

Dirac Operators in Representation Theory

Author(s): Huang, Jing Song; Pandzic, Pavle

Source: Dirac Operators in Representation Theory. , / JingSong Huang, Pavle Pandžić. Boston: Birkhäuser, c2006
Book chapter

Dirac cohomology, elliptic representations and endoscopy

Author(s): Huang, Jing Song

Source: Representations of Reductive Groups: In Honor of the 60th Birthday of David A. Vogan, Jr.. , Editors: Monica Nevins, Peter E. Trapa. Switzerland : Springer International Publishing, 2015, p. 241276, Part of the Progress in Mathematics book series (PM, vo

李群酉表示的分类

Source: 10000个科学难题. 数学卷. , / "10000个科学难题"数学编委会编. 北京: 科学出版社, 2009, p. 232234

Dirac Operators in Representation Theory

Author(s): Huang, Jing Song; Pandzic, Pavle

Source: Reprsentations of real and padic groups, Lecture Notes Series, Institute for Mathematical Sciences, World Scientific, Singapore. , / Edited by EngChye Tan, ChenBo Zhu. Singapore, v. 2, 2004, April, p. 163219

The unitary dual of the covering groups of GL(n) over a local field

Author(s): Huang, Jing Song

Source: Harmonic Analysis in China. , / Edited by Minde Cheng, Donggao Deng, Sheng Gong, ChungChun Yang. Springer Netherlands, 1995, p. 103124
Conference paper

Symplectic dirac cohomology and lifting of characters to metaplectic groups

Author(s): Huang, Jingsong

Source: Lie Groups, Number Theory, and Vertex Algebras: Conference on Representation Theory XVI, June 2429, 2019, InterUniversity Center, Dubrovnik, Croatia / Dražen Adamović, Andrej Dujella, Antun Milas, Pavle Pandžić, Editors. Providence, Rhode Island : Ameri

Dirac Cohomology in Representation Theory

Author(s): Huang, Jing Song

Source: Springer INdAM Series. , v. 19, 2017, p. 299314

Dirac cohomology and representations of semisimple Lie groups

Author(s): Huang, Jing Song

Source: Nankai Summer School on Representation Theory and Harmonic Analysis. , 818 June 2006

Dirac cohomology and its applications in representation theory

Author(s): Huang, Jing Song

Source: Proceedings of Asian Mathematical Conference, Singapore. , 1620 July 2005

