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 P(V).
A note on normality of cones over symmetric varieties
CHIRIVI', Rocco
2012-01-01
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 P(V).File in questo prodotto:
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