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Deformation Quantization of Non Regular Orbits of Compact Lie Groups

Quantum Algebra 2007-05-23 v3 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.math/0105191,
  title  = {Deformation Quantization of Non Regular Orbits of Compact Lie Groups},
  author = {M. A. Lledo},
  journal= {arXiv preprint arXiv:math/0105191},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:38:49.650Z