Berezin quantization and holomorphic representations

Benjamin Cahen

Displaying similar documents to “Berezin quantization and holomorphic representations”

The Capelli identity and unitary representations

Siddhartha Sahi (1992)

Compositio Mathematica

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Berezin-Weyl quantization for Cartan motion groups

Benjamin Cahen (2011)

Commentationes Mathematicae Universitatis Carolinae

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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].

Berezin transform for non-scalar holomorphic discrete series

Benjamin Cahen (2012)

Commentationes Mathematicae Universitatis Carolinae

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Let $M = G / K$ be a Hermitian symmetric space of the non-compact type and let $π$ be a discrete series representation of $G$ which is holomorphically induced from a unitary irreducible representation $ρ$ of $K$ . In the paper [B. Cahen, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Beiträge Algebra Geom., DOI 10.1007/s13366-011-0066-2], we have introduced a notion of complex-valued Berezin symbol for an operator acting on the space of $π$ . Here we study the corresponding...

On the classification of unitary representations of reductive Lie groups.

Salamanca-Riba, Susana A., Vogan, David A.jun. (1998)

Annals of Mathematics. Second Series

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Kaehler coherent state orbits for representations of semisimple Lie groups

W. Lisiecki (1990)

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Metaplectic correspondences and unitary representations

Jing-Song Huang (1991)

Compositio Mathematica

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