Berezin's quantization on flag manifolds and spherical modules

It is shown that the theory of spherical Harish-Chandra modules naturally provides the algebras of covariant, contravariant and mixed symbols on generalized flag manifolds. The general proof of the correspondence principle for all these symbol algebras is given.

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Bibliographic Details
Published in:arXiv.org 1994-12
Main Author: Karabegov, A V
Format: Article
Language:English
Subjects:
Flags
Manifolds
Modules
Online Access:Get full text
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Description
Summary:It is shown that the theory of spherical Harish-Chandra modules naturally provides the algebras of covariant, contravariant and mixed symbols on generalized flag manifolds. The general proof of the correspondence principle for all these symbol algebras is given.
ISSN:2331-8422