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

Koichi Arashi

doi:10.1007/978-981-97-6453-2_26

paper

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

arXiv:2312.01382 · doi:10.1007/978-981-97-6453-2_26

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 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.

10 pages