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Berezin's quantization on flag manifolds and spherical modules
Author(s):
Alexander
V.
Karabegov
Journal:
Trans. Amer. Math. Soc.
350
(1998),
1467-1479.
MSC (1991):
Primary 58F06;
Secondary 22E47
MathSciNet review:
1458307
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Abstract:
We show that the theory of spherical Harish-Chandra modules naturally gives rise to Berezin's symbol quantization on generalized flag manifolds. It provides constructions of symbol algebras and of their representations for covariant and contravariant symbols, and also for symbols which so far have no explicit definition. For all these symbol algebras we give a general proof of the correspondence principle.
References:
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- 2.
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Additional Information:
Alexander
V.
Karabegov
Affiliation:
LCTA, Joint Institute for Nuclear Research, Dubna 141980, Moscow Region, Russia
Email:
karabegov@vxjinr.jinr.ru
DOI:
10.1090/S0002-9947-98-02099-6
PII:
S 0002-9947(98)02099-6
Keywords:
Quantization,
symbols,
Harish-Chandra modules
Received by editor(s):
December 14, 1994
Received by editor(s) in revised form:
June 14, 1996
Copyright of article:
Copyright
1998,
American Mathematical Society
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