The Jordan property for Lie groups and automorphism groups of complex spaces
classification
🧮 math.GR
math.AGmath.CVmath.DG
keywords
groupsjordancomplexspacesaffinealgebraicautomorphismcharacteristic
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We prove that the family of all connected n-dimensional real Lie groups is uniformly Jordan for every n. This implies that all algebraic groups (not necessarily affine) over fields of characteristic zero and some transformation groups of complex spaces and Riemannian manifods are Jordan.
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