The characters of the holomorphic discrete series

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The characters of the holomorphic discrete series.

This paper summarizes the derivation of an explicit and global formula for the character of any holomorphic discrete series representation of a reductive Lie group G which satisfies certain conditions. The only very restrictive condition is that G/K be a Hermitian symmetric space. (Here K is the maximal compact subgroup of G.).

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ژورنال

عنوان ژورنال: Proceedings of the National Academy of Sciences

سال: 1975

ISSN: 0027-8424,1091-6490

DOI: 10.1073/pnas.72.9.3275