Email this article The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces
- Authors: Popov V.L.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 103, No 5-6 (2018)
- Pages: 811-819
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150896
- DOI: https://doi.org/10.1134/S0001434618050139
- ID: 150896
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Abstract
We prove that the family of all connected n-dimensional real Lie groups is uniformly Jordan for every n. This implies that all algebraic (not necessarily affine) groups over fields of characteristic zero and some transformation groups of complex spaces and Riemannian manifolds are Jordan.
About the authors
V. L. Popov
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: popovvl@mi.ras.ru
Russian Federation, Moscow
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