Berezin’s quantization on flag manifolds and spherical modules
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- by Alexander V. Karabegov PDF
- Trans. Amer. Math. Soc. 350 (1998), 1467-1479 Request permission
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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Additional Information
- Alexander V. Karabegov
- Affiliation: LCTA, Joint Institute for Nuclear Research, Dubna 141980, Moscow Region, Russia
- Email: karabegov@vxjinr.jinr.ru
- Received by editor(s): December 14, 1994
- Received by editor(s) in revised form: June 14, 1996
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 1467-1479
- MSC (1991): Primary 58F06; Secondary 22E47
- DOI: https://doi.org/10.1090/S0002-9947-98-02099-6
- MathSciNet review: 1458307