Restrictions of discrete series to

Author:
Jorge Vargas

Journal:
Proc. Amer. Math. Soc. **117** (1993), 1187-1192

MSC:
Primary 22E47

MathSciNet review:
1113650

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Abstract: We prove that the restriction to of the underlying Harish-Chandra module of a Discrete Series representation of a noncompact simple Lie group has no -irreducible subrepresentations unless it is holomorphic. We also give a characterization of the holomorphic Discrete Series.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1993-1113650-0

Keywords:
Restriction of discrete series

Article copyright:
© Copyright 1993
American Mathematical Society