منابع مشابه
On Holomorphic Representations of Symplectic Groups
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 alg...
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Let G be a connected semisimple Lie group such that the associated symmetric space X is Hermitian and let Γg be the fundamental group of a compact orientable surface of genus g ≥ 2. We survey the study of maximal representations of Γg into G that is the subset of Hom(Γg, G) which is a union of components characterized by the maximality of the Toledo invariant ([16] and [14]). Then we concentrat...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1972
ISSN: 0021-8693
DOI: 10.1016/0021-8693(72)90098-1