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A Note on Normality of Cones Over Symmetric Varieties
Authors:Rocco Chirivì  Andrea Maffei
Institution:1. Università di Pisa , Pisa , Italy chirivi@dm.unipi.it;3. Università di Roma “La Sapienza,” , Rome , Italy
Abstract:Let G be a semisimple and simply connected algebraic group, and let H 0 be the subgroup of points fixed by an involution of G. Let V be an irreducible representation of G with a nonzero vector v fixed by H 0. In this article, we prove a property of the normalization of the coordinate ring of the closure of G·v] in ?(V).
Keywords:Complete symmetric variety  Projective normality
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