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Journal of the Ramanujan Mathematical Society

Volume 38, Issue 2, June 2023  pp. 139–156.

Minimal Parabolic subgroups and Automorphism groups of Schubert varieties-II

Authors:  S. Senthamarai Kannan and Pinakinath Saha
Author institution: Chennai Mathematical Institute, Plot H1, SIPCOT IT Park, Siruseri, Kelambakkam 603 103, India.

Summary:  Let G be a simple algebraic group of adjoint type over the field C of complex numbers, B be a Borel subgroup of G containing a maximal torus T of G. In this article, we show that α 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{α} of G is the connected component, containing the identity automorphism of the group of all algebraic automorphisms of X{Q}(w).

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