Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the unitary dual of the classical Lie groups,
Representations of $Sp(p,q)$


Author: Susana A. Salamanca-Riba
Journal: Proc. Amer. Math. Soc. 125 (1997), 3107-3117
MSC (1991): Primary 22E46, 22D10; Secondary 22E47, 20G05
MathSciNet review: 1401753
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we prove that a unitary representation of $Sp(p,q)$ whose infinitesimal character satisfies some regularity condition is infinitesimally isomorphic to an $A_{\mathfrak {q}} \ (\lambda )$ module. This is done using similar techniques as those used by the author in earlier work.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 22E46, 22D10, 22E47, 20G05

Retrieve articles in all journals with MSC (1991): 22E46, 22D10, 22E47, 20G05


Additional Information

Susana A. Salamanca-Riba
Affiliation: Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email: ssalaman@nmsu.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03932-4
PII: S 0002-9939(97)03932-4
Keywords: Real semisimple Lie groups, unitary representations, Zuckerman modules
Received by editor(s): October 10, 1995
Received by editor(s) in revised form: April 19, 1996
Additional Notes: Supported by NSF grant DMS–9108990
Communicated by: Roe Goodman
Article copyright: © Copyright 1997 American Mathematical Society