On the unitary dual of the classical Lie groups, representations of $Sp(p,q)$
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- by Susana A. Salamanca-Riba PDF
- Proc. Amer. Math. Soc. 125 (1997), 3107-3117 Request permission
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
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Additional Information
- Susana A. Salamanca-Riba
- Affiliation: Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
- Email: ssalaman@nmsu.edu
- Received by editor(s): October 10, 1995
- Received by editor(s) in revised form: April 19, 1996
- Additional Notes: Supported by NSF grant DMSโ9108990
- Communicated by: Roe Goodman
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3107-3117
- MSC (1991): Primary 22E46, 22D10; Secondary 22E47, 20G05
- DOI: https://doi.org/10.1090/S0002-9939-97-03932-4
- MathSciNet review: 1401753