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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A solution of Warner's 3rd problem for representations of holomorphic type


Author: Floyd L. Williams
Journal: Trans. Amer. Math. Soc. 293 (1986), 605-612
MSC: Primary 22E46; Secondary 11F70, 32M15
MathSciNet review: 816313
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Abstract: In response to one of ten problems posed by G. Warner, we assign (to the extent that it is possible) a geometric or cohomological interpretation-- in the sense of Langlands--to the multiplicty in $ {L^2}(\Gamma \backslash G)$ of an irreducible unitary representation $ \pi $ of a semisimple Lie group $ G$, where $ \Gamma $ is a discrete subgroup of $ G$, in the case when $ \pi $ has a highest weight.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1986-0816313-2
PII: S 0002-9947(1986)0816313-2
Article copyright: © Copyright 1986 American Mathematical Society