Let $G$ be a simple algebraic group of adjoint type over the field of complex numbers, different from $\operatorname{PSL}(2,\mathbb{C})$. Let $\bar{G}$ be the wonderful compactification of $G$ constructed by C. De Concini and C. Procesi. Let $\bar{B}$ be the scheme theoretic closure of a Borel subgr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2025-06-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.742/ |
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| Summary: | Let $G$ be a simple algebraic group of adjoint type over the field of complex numbers, different from $\operatorname{PSL}(2,\mathbb{C})$. Let $\bar{G}$ be the wonderful compactification of $G$ constructed by C. De Concini and C. Procesi. Let $\bar{B}$ be the scheme theoretic closure of a Borel subgroup $B$ of $G$ in $\bar{G}$. Then we prove that the connected component, containing the identity automorphism of the group of all algebraic automorphisms of $\bar{B}$ is $B\times B$. |
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| ISSN: | 1778-3569 |