Work

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

Year: 2025

Type: article

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 C n \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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17241

Authors: George Shabat, Alexander Tumanov

Institutions: Russian State University for the Humanities, University of Illinois Urbana-Champaign

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4409525670

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Cites: 10

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Related to: 10