Stratonovich-Weyl correspondence for compact semisimple Lie groups

DOI10.1007/s12215-010-0026-yzbMath1218.22008OpenAlexW1978380140WikidataQ115377009 ScholiaQ115377009MaRDI QIDQ619607

Benjamin Cahen

Publication date: 25 January 2011

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0026-y

zbMATH Keywords

quantizationhighest weight representationcoherent statesBerezin transformBerezin quantizationgeneralized flag manifoldsStratonovich-Weyl correspondence

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Geometry and quantization, symplectic methods (81S10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Homogeneous complex manifolds (32M10) Harmonic analysis on general compact groups (43A77)

Related Items (7)

Berezin Symbols on Lie Groups ⋮ Berezin quantization and holomorphic representations ⋮ The complex Weyl calculus as a Stratonovich-Weyl correspondence for the real diamond group ⋮ Unnamed Item ⋮ Invariant symbolic calculus for compact Lie groups ⋮ Unnamed Item ⋮ Coherent states and Berezin quantization for non-scalar holomorphic representations

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