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 of an irreducible unitary representation of a semisimple Lie group , where is a discrete subgroup of , in the case when has a highest weight.

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DOI:
https://doi.org/10.1090/S0002-9947-1986-0816313-2

Article copyright:
© Copyright 1986
American Mathematical Society