Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916675388964864 |
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| author | Arashi, Koichi |
| author_facet | Arashi, Koichi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01382 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III Arashi, Koichi Representation Theory Complex Variables Primary 22E45, 81R30, Secondary 32M10, 53D50 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. |
| title | Coherent state representations of the holomorphic automorphism group of a quasi-symmetric Siegel domain of type III |
| topic | Representation Theory Complex Variables Primary 22E45, 81R30, Secondary 32M10, 53D50 |
| url | https://arxiv.org/abs/2312.01382 |