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

Williams, Floyd L.

doi:10.1090/S0002-9947-1986-0816313-2

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
DOI: https://doi.org/10.1090/S0002-9947-1986-0816313-2
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 , where $\Gamma$ is a discrete subgroup of , in the case when $\pi$ has a highest weight.

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