Displaying similar documents to “The Harish-Chandra homomorphism for a quantized classical hermitian symmetric pair”

Generalized Verma module homomorphisms in singular character

Peter Franek (2006)

Archivum Mathematicum

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In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the k -th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.

Norm estimates for unitarizable highest weight modules

Bernhard Krötz (1999)

Annales de l'institut Fourier

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We consider families of unitarizable highest weight modules ( ℋ λ ) λ ∈ L on a halfline L . All these modules can be realized as vector valued holomorphic functions on a bounded symmetric domain 𝒟 , and the polynomial functions form a dense subset of each module ℋ λ , λ ∈ L . In this paper we compare the norm of a fixed polynomial in two Hilbert spaces corresponding to two different parameters. As an application we obtain that for all λ ∈ L the module of hyperfunction vectors ℋ λ - ∞ can be realized as the space of...