Professor Emeritus

Biography

Prof. Jing-Song Huang received a BSc in mathematics from the Peking University in Beijing, China and a PhD in mathematics from MIT in Cambridge, Massachusetts, U.S.A.. He was a member at the Institute for Advanced Study in Princeton and a faculty member at the University of Utah in Salt Lake City before he joined the Hong Kong University of Science and Technology.

Research Interests

Representation theory; Lie theory; noncommutative harmonic analysis

Selected Publications

  Article

1. Dirac Cohomology and Character Lifting
   • Author(s): Huang, Jingsong
   • Source: Acta Mathematica Sinica, English Series, 22 January 2021
   • Year: 2021


2. Harish-Chandra'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. 1095-1113
   • Year: 2020


3. 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. 1-19
   • Year: 2019


4. A Casselman-osborne Theorem for Rational Cherednik Algebras
   • Author(s): Huang, Jingsong ; Wong, Kayue Daniel
   • Source: Transformation Groups. , v. 23, (1), March 2018, p. 75-99
   • Year: 2018


5. On Borel-de Siebenthal representations
   • Author(s): Huang, Jingsong ; Luan, Yongzhi; Sun, Binyong
   • Source: International Mathematics Research Notices, v. 2018, 12 January 2018, article number rnx304
   • Year: 2018


6. On Classifying Unitary Modules by Their Dirac Cohomology
   • Author(s): Huang, Jing Song; Pandzic, Pavle; Vogan, David
   • Source: SCIENCE CHINA-MATHEMATICS. , v.60, (11), November 2017, p. 1937-1962
   • Year: 2017


7. 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. 33-50
   • Year: 2016


8. 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. 37-60
   • Year: 2015


9. 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. 207-228
   • Year: 2014


10. Klein four-subgroups of lie algebra automorphisms
    • Author(s): Huang, Jing Song; Yu, Jun
    • Source: Pacific Journal of Mathematics. , v. 262, (2), 2013, p. 397-420
    • Year: 2013


11. Dirac Cohomology, K-characters and Branching Laws
    • Author(s): Huang, Jing Song; Pandzic, Pavle; Zhu, Fuhai
    • Source: American Journal of Mathematics. , v. 135, (5), October 2013, p. 1253-1269
    • Year: 2013


12. Dirac Cohomology of Highest Weight Modules
    • Author(s): Huang, Jing Song; Xiao, Wei
    • Source: Selecta Mathematica. , v.18, (4), 2012, Dec, p. 803-824
    • Year: 2012


13. Dirac cohomology and Dirac induction
    • Author(s): Huang, Jing Song
    • Source: Science China. Mathematics. , v. 54, (11), 2011, p. 2373-2381
    • Year: 2011


14. Jacquet modules and Dirac cohomology
    • Author(s): Dong, Chao Ping; Huang, Jing Song
    • Source: Advances in mathematics. , v. 226, (4), March 2011, p. 2911-2934
    • Year: 2011


15. 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. 163-190
    • Year: 2011


16. 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. 1721-1750
    • Year: 2010


17. 李群不可约酉表示的分类问题与最新进展
    • Author(s): 黃勁松
    • Source: 山东大学学报. 理学版=Journal of Shandong University, v. 44, (4), 2009, p. 1-4
    • Year: 2009


18. Dirac cohomology of some harish-chandra modules
    • Author(s): Huang, Jing Song; Kang, Yi Fang; Pandzic, Pavle
    • Source: Transformation groups. , v. 14, (1), 2009, MAR, p. 163-173
    • Year: 2009


19. 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
    • Year: 2009


20. Dirac operators and Lie algebra cohomology
    • Author(s): Huang, Jing Song; Pandzic, Pavle; Renard, David A.
    • Source: Representation Theory. , v. 10, 2006, p. 299-313
    • Year: 2006


21. Generalized spherical functions on reductive p-adic groups
    • Author(s): Huang, Jing Song; Tadic, Marko
    • Source: Transactions of the American Mathematical Society. , v. 357, (5), 2005, p. 2081-2117
    • Year: 2005


22. Dirac cohomology for Lie superalgebras
    • Author(s): Huang, Jing Song; Pandzic, Pavle
    • Source: Transformation groups. , v. 10, (2), 2005, JUN, p. 201-209
    • Year: 2005


23. Dirac operators in representation theory
    • Author(s): Huang, Jing Song
    • Source: Algebra Colloquium. , v. 11, (1), 2004, March, p. 31-52
    • Year: 2004


24. Admissible square quadruplets and semisimple symmetric spaces
    • Author(s): Huang, Jing Song
    • Source: Advances in mathematics. , v. 165, (1), 2002, January, p. 101-123
    • Year: 2002


25. 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. 185-202
    • Year: 2002


26. 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. 703-737
    • Year: 2001


27. Unipotent representations attached to spherical nilpotent orbits
    • Author(s): Huang, Jing Song; Li, Jian-Shu
    • Source: American journal of mathematics. , v. 121, (3), 1999, June, p. 497-517
    • Year: 1999


28. 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. 925-934
    • Year: 1999


29. Unipotent representations of G(2) arising from the minimal representation of D-4(E)
    • Author(s): Huang, Jing Song; Magaard, Kay; Savin, Gordan
    • Source: Journal fur die Reine und Angewandte Mathematik. , v. 500, 1998, July, p. 65-81
    • Year: 1998


30. Kazhdan-Patterson lifting for GL(n,R)
    • Author(s): Adams, Jeffrey; Huang, Jing Song
    • Source: Duke mathematical journal. , v. 89, (3), 1997, September, p. 423-444
    • Year: 1997


31. Plancherel formulae for non-symmetric polar homogeneous spaces
    • Author(s): Huang, Jing Song
    • Source: Pacific journal of mathematics. , v. 176, (2), 1996, December, p. 345-356
    • Year: 1996


32. 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. 637-652
    • Year: 1996


33. Harmonic analysis on compact polar homogeneous spaces
    • Author(s): Huang, Jing Song
    • Source: Pacific journal of mathematics. , v. 175, (2), 1996, October, p. 553-569
    • Year: 1996


34. New dual pair correspondences
    • Author(s): Huang, Jing Song; Pandzic, Pavle; Savin, Gordan
    • Source: Duke mathematical journal. , v. 82, (2), 1996, February, p. 447-471
    • Year: 1996


35. Minimal Representations, Shared Orbits and Dual Pair Correspondences
    • Author(s): Huang, Jing Song
    • Source: International Mathematics Research Notices. , v. 1995, (6), 1995, p. 309-323
    • Year: 1995


36. Intertwining differential operators and irreducibility of generalized Verma modules
    • Author(s): Huang, Jing Song
    • Source: Mathematische Annalen. , v. 297, 1993, p. 309-324
    • Year: 1993


37. Metaplectic correspondences and unitary representations
    • Author(s): Huang, Jing Song
    • Source: Compositio Mathematica. , v. 80, (3), December 1991, p. 309-322
    • Year: 1991


38. 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. 705-745
    • Year: 1990

  Book

1. Dirac Operators in Representation Theory
   • Author(s): Huang, Jing Song; Pandzic, Pavle
   • Source: Dirac Operators in Representation Theory. , / Jing-Song Huang, Pavle Pandžić. Boston: Birkhäuser, c2006
   • Year: 2006

  Book chapter

1. 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. 241-276, Part of the Progress in Mathematics book series (PM, vo
   • Year: 2015


2. 李群酉表示的分类
   • Author(s): 黄劲松
   • 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. 232-234
   • Year: 2009


3. Dirac Operators in Representation Theory
   • Author(s): Huang, Jing Song; Pandzic, Pavle
   • Source: Reprsentations of real and p-adic groups, Lecture Notes Series, Institute for Mathematical Sciences, World Scientific, Singapore. , / Edited by Eng-Chye Tan, Chen-Bo Zhu. Singapore, v. 2, 2004, April, p. 163-219
   • Year: 2004


4. 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, Dong-gao Deng, Sheng Gong, Chung-Chun Yang. Springer Netherlands, 1995, p. 103-124
   • Year: 1995

  Conference paper

1. 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 24-29, 2019, Inter-University Center, Dubrovnik, Croatia / Dražen Adamović, Andrej Dujella, Antun Milas, Pavle Pandžić, Editors. Providence, Rhode Island : Ameri
   • Year: 2021


2. Dirac Cohomology in Representation Theory
   • Author(s): Huang, Jing Song
   • Source: Springer INdAM Series. , v. 19, 2017, p. 299-314
   • Year: 2017


3. Dirac cohomology and representations of semisimple Lie groups
   • Author(s): Huang, Jing Song
   • Source: Nankai Summer School on Representation Theory and Harmonic Analysis. , 8-18 June 2006
   • Year: 2006


4. Dirac cohomology and its applications in representation theory
   • Author(s): Huang, Jing Song
   • Source: Proceedings of Asian Mathematical Conference, Singapore. , 16-20 July 2005
   • Year: 2005