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Berezin-Weyl quantization for Cartan motion groups. (English) Zbl 1240.22010

Summary: We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Differ. Geom. Appl. 25, No. 2, 177–190 (2007; Zbl 1117.81087)].

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
22E46 Semisimple Lie groups and their representations
22E70 Applications of Lie groups to the sciences; explicit representations
22E15 General properties and structure of real Lie groups
81S10 Geometry and quantization, symplectic methods

Citations:

Zbl 1117.81087
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