Deformation Quantization of Non Regular Orbits of Compact Lie Groups

Details Deformation Quantization of Non Regular Orbits of Compact Lie Groups Deformation Quantization of Non Regular Orbits of Compact Lie Groups

2001-05-23

arxiv.org/abs/math/0105191v3

Lett.Math.Phys. 58 (2001) 57-67

Mathematics

Quantum Algebra

AMS-LaTeX, 14 pages. Some changes in Lemma 3.2

Scientific paper

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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