Non-linear Lie groups that can be realized as automorphism groups of bounded domains

George Shabat; Alexander Tumanov

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arXiv · 2406.09600

Non-linear Lie groups that can be realized as automorphism groups of bounded domains

George Shabat·Alexander Tumanov

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Abstract

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.

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George Shabat, Alexander Tumanov. 2024-06-13. Non-linear Lie groups that can be realized as automorphism groups of bounded domains. https://arxiv.org/abs/2406.09600

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