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Holomorphic Lie group actions on Danielewski surfaces
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Mathematics, and Science Education (2023-).
2023 (English)In: Complex Variables and Elliptic Equations, ISSN 1747-6933, E-ISSN 1747-6941, Vol. 68, no 10, p. 1801-1811Article in journal (Refereed) Published
Abstract [en]

We prove that any Lie subgroup G (with finitely many connected components) of an infinite-dimensional topological group (Formula presented.) which is an amalgamated product of two closed subgroups can be conjugated to one factor. We apply this result to classify Lie group actions on Danielewski surfaces by elements of the overshear group (up to conjugation).

Place, publisher, year, edition, pages
Informa UK Limited , 2023. Vol. 68, no 10, p. 1801-1811
Keywords [en]
automorphisms, Danielewski surfaces, free amalgamated product, Lie group actions, one-parameter subgroups, overshears, Primary 32M17, Secondary 22E60
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:miun:diva-45749DOI: 10.1080/17476933.2022.2076843ISI: 000824500000001Scopus ID: 2-s2.0-85133977092OAI: oai:DiVA.org:miun-45749DiVA, id: diva2:1685414
Available from: 2022-08-02 Created: 2022-08-02 Last updated: 2023-09-08Bibliographically approved

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Lind, Andreas

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