2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61520In 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.AMS-LaTeX, 14 pages. Some changes in Lemma 3.2Quantum AlgebraHigh Energy Physics - TheoryDeformation Quantization of Non Regular Orbits of Compact Lie Groupstext