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Deformation Quantization of Non Regular Orbits of Compact Lie Groups

M. A. Lledo

math.QAarXiv:math/0105191

Abstract

In this paper we construct a deformation quantization of the algebra of polynomials of an arbitrary (regular and non regular) coadjoint orbit of a compact semisimple Lie group. The deformed algebra is given as a quotient of the enveloping algebra by a suitable ideal.

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