## Automorphisms of $\overline{T}$

### Abstract

Let $\overline G$ be the wonderful compactification of a simple affine algebraic group $G$ defined over $\mathbb C$ such that its center is trivial and $G\not= {\rm PSL}(2,\mathbb{C})$. Take a maximal torus $T \subset G$, and denote by $\overline T$ its closure in $\overline G$. We prove that $T$ coincides with the connected component, containing the identity element, of the group of automorphisms of the variety $\overline T$.Comment: Final versio

Topics: Mathematics - Algebraic Geometry, Mathematics - Group Theory, 14L10, 14L30
Year: 2015
OAI identifier: oai:arXiv.org:1506.09011

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