On Holomorphic Representations of Symplectic Groups
نویسنده
چکیده
In this paper we shall give a simple and concrete realization of a set of representatives of all irreducible holomorphic representations of G. This realization, which involves the G-module structure of a symmetric algebra of polynomial functions is inspired by the work of B. Kostant [1] and follows the general scheme formulated in [2]. Detailed proofs will appear elsewhere. 1. The symmetric algebra S(E *). Set E = C X2k with k>n>2\ then G acts linearly on E by right multiplication. Let ( • , • ) denote the skew-symmetric bilinear form on E given by
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تاریخ انتشار 2007