Holomorphic multiplier representations for bounded homogeneous domains
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866913485744504832 |
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| author | Arashi, K. |
| author_facet | Arashi, K. |
| contents | In this paper, we study the unitarizations in the spaces of holomorphic sections of equivariant holomorphic line bundles over a bounded homogeneous domain under the action of a connected algebraic group acting transitively on the domain. We give a complete classification of unitary representations arising from such unitarizations. As an application, we classify all such unitary representations for a specific five-dimensional non-symmetric bounded homogeneous domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_02568 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Holomorphic multiplier representations for bounded homogeneous domains Arashi, K. Representation Theory 32M05 (Primary), 22E45 (Secondary) In this paper, we study the unitarizations in the spaces of holomorphic sections of equivariant holomorphic line bundles over a bounded homogeneous domain under the action of a connected algebraic group acting transitively on the domain. We give a complete classification of unitary representations arising from such unitarizations. As an application, we classify all such unitary representations for a specific five-dimensional non-symmetric bounded homogeneous domain. |
| title | Holomorphic multiplier representations for bounded homogeneous domains |
| topic | Representation Theory 32M05 (Primary), 22E45 (Secondary) |
| url | https://arxiv.org/abs/1912.02568 |