A Note on Normality of Cones Over Symmetric Varieties |
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Authors: | Rocco Chirivì Andrea Maffei |
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Affiliation: | 1. Università di Pisa , Pisa , Italy chirivi@dm.unipi.it;3. Università di Roma “La Sapienza,” , Rome , Italy |
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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). |
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Keywords: | Complete symmetric variety Projective normality |
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