June 13, 2024Open Access

Realizing Lie groups as automorphism groups of bounded domains

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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 Cⁿ. In an earlier paper of 1990, the authors 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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Shabat et al. (Thu,) studied this question.

synapsesocial.com/papers/68e64f88b6db6435875e02ac https://doi.org/https://doi.org/10.48550/arxiv.2406.09600

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