Deformation Quantization of Non Regular Orbits of Compact Lie Groups

M. A. Lledo

Deformation Quantization of Non Regular Orbits of Compact Lie Groups

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arxiv math/0105191 v3 pith:DME5OJI6 submitted 2001-05-23 math.QA hep-th

M. A. Lledo This is my paper · ORCID

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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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Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond
hep-th 2026-08 conditional novelty 6.0 of 10

A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

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