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arXiv · 2312.01382

Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III

Koichi Arashi
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Abstract

The aim of this paper is to study the classification of generic coherent state representations of a Lie group and its connection to the structure theory of K\"{a}hler algebras. The group we deal with is the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III. A method using the generalized Iwasawa decomposition is provided.

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Koichi Arashi. 2023-12-03. Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III. https://doi.org/10.1007/978-981-97-6453-2_26

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