Non-linear Lie groups that can be realized as automorphism groups of bounded domains
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917889321205760 |
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| author | Shabat, George Tumanov, Alexander |
| author_facet | Shabat, George Tumanov, Alexander |
| contents | We consider a problem whether a given Lie group can be realized as the group of all biholomorphic automorphisms of a bounded domain in ${\mathbb C}^n$. In an earlier paper of 1990, we proved the result for connected linear Lie groups. In this paper we give examples of non-linear groups for which the result still holds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09600 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-linear Lie groups that can be realized as automorphism groups of bounded domains Shabat, George Tumanov, Alexander Complex Variables Group Theory 32M18, 22F50 We consider a problem whether a given Lie group can be realized as the group of all biholomorphic automorphisms of a bounded domain in ${\mathbb C}^n$. In an earlier paper of 1990, we proved the result for connected linear Lie groups. In this paper we give examples of non-linear groups for which the result still holds. |
| title | Non-linear Lie groups that can be realized as automorphism groups of bounded domains |
| topic | Complex Variables Group Theory 32M18, 22F50 |
| url | https://arxiv.org/abs/2406.09600 |