On the deformation quantization of coadjoint orbits of semisimple groups
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On the deformation quantization of coadjoint orbits of semisimple groups

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On the deformation quantization of coadjoint orbits of semisimple groups

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Fioresi, Rita; Lledó Barrena, María Antonia Perfil
This document is a artículoDate2001

Este documento está disponible también en : http://hdl.handle.net/10550/33308
In this paper we consider the problem of deformation quantization of the algebra of polynomial functions on coadjoint orbits of semisimple lie groups. The deformation of an orbit is realized by taking the quotient of the universal enveloping algebra of the Lie algebra of the given Lie group, by a suitable ideal. A comparison with geometric quantization in the case of SU(2) is done where both methods agree.

    Fioresi, R. Lledó Barrena, María Antonia 2001 On the deformation quantization of coadjoint orbits of semisimple groups Pacific Journal of Mathematics 198 2 411 436

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