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• W2296173514 abstract "Let G be a simple algebraic group of adjoint type over the field (mathbb {C}) of complex numbers. Let B be a Borel subgroup of G containing a maximal torus T of G. Let w be an element of the Weyl group W and let X(w) be the Schubert variety in G/B corresponding to w. Let α0 denote the highest root of G with respect to T and B. Let P be the stabiliser of X(w) in G. In this paper, we prove that if G is simply laced and X(w) is smooth, then the connected component of the automorphism group of X(w) containing the identity automorphism equals P if and only if w−1(α0) is a negative root (see Theorem 4.2). We prove a partial result in the non simply laced case (see Theorem 6.6)." @default.
• W2296173514 created "2016-06-24" @default.
• W2296173514 creator A5002618906 @default.
• W2296173514 date "2016-03-11" @default.
• W2296173514 modified "2023-09-25" @default.
• W2296173514 title "On the Automorphism Group of a Smooth Schubert Variety" @default.
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• W2296173514 doi "https://doi.org/10.1007/s10468-016-9598-3" @default.
• W2296173514 hasPublicationYear "2016" @default.
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