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Keywords:
semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization
semidirect product; Cartan motion group; unitary representation; semisimple Lie group; symplectomorphism; coadjoint orbit; Weyl quantization; Berezin quantization
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, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].
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