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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 Kähler 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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Coherent State Representations of the Holomorphic Automorphism Group of a Quasi-symmetric Siegel Domain of Type III

  • 会议论文

  • 发表日期：

    2025年

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  • Koichi Arashi

摘要

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 Kähler 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.