Minimal Parabolic subgroups and Automorphism groups of Schubert varieties-II
| Autor: | Kannan, S. Senthamarai, Saha, Pinakinath |
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| Rok vydání: | 2022 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $G$ be a simple algebraic group of adjoint type over the field $\mathbb{C}$ of complex numbers, $B$ be a Borel subgroup of $G$ containing a maximal torus $T$ of $G.$ In this article, we show that $\alpha$ is a co-minuscule root if and only if for any parabolic subgroup $Q$ containing $B$ properly, there is no Schubert variety $X_{Q}(w)$ in $G/Q$ such that the minimal parabolic subgroup $P_{\alpha}$ of $G$ is the connected component, containing the identity automorphism of the group of all algebraic automorphisms of $X_{Q}(w).$ Comment: To appear in J. Ramanujan Math. Soc., pages 27. arXiv admin note: text overlap with arXiv:2209.09748 |
| Databáze: | arXiv |
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