Berezin-Weyl quantization for Cartan motion groups

Commentationes mathematicae Universitatis Carolinae

Benjamin Cahen¹ 

关键词: semidirect product;    Cartan motion group;    unitary representation;    semisimple Lie group;    symplectomorphism;    coadjoint orbit;    Weyl quantization;    Berezin quantization;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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, {\it Weyl quantization for semidirect products\/}, Differential Geom. Appl. {\bf 25} (2007), 177--190].

【 授权许可】

CC BY