Invariant symbolic calculus for compact Lie groups

Benjamin Cahen

Address: Université de Lorraine, Site de Metz, UFR-MIM, Département de mathématiques, Bâtiment A, 3 rue Augustin Fresnel, BP 45112, 57073 METZ Cedex 03, France

E-mail: benjamin.cahen@univ-lorraine.fr

Abstract: We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.

AMSclassification: primary 22E46; secondary 22E45, 81S10, 81R05.

Keywords: compact Lie group, invariant symbolic calculus, coadjoint orbit, unitary representation, Berezin quantization, Weyl quantization.

DOI: 10.5817/AM2019-3-139