On the deformation quantization of coadjoint orbits of semisimple groups

Authors
Fioresi, R Lledo, MA
Citation
R. Fioresi et Ma. Lledo, On the deformation quantization of coadjoint orbits of semisimple groups, PAC J MATH, 198(2), 2001, pp. 411-436
Citations number
32
Categorie Soggetti
Mathematics
Journal title
PACIFIC JOURNAL OF MATHEMATICS
ISSN journal
00308730 → ACNP
Volume
198
Issue
2
Year of publication
2001
Pages
411 - 436
Database
ISI
SICI code
0030-8730(200104)198:2<411:OTDQOC>2.0.ZU;2-3
Abstract
In this paper we consider the problem of deformation quantization of the al gebra of polynomial functions on coadjoint orbits of semisimple Lie groups. The deformation of an orbit is realized by taking the quotient of the univ ersal enveloping algebra of the Lie algebra of the given Lie group, by a su itable ideal. A comparison with geometric quantization in the case of SU(2) is done, where both methods agree.