Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.
On normality of cones over symmetric varieties
Chirivi' Rocco;
2006-01-01
Abstract
Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.File in questo prodotto:
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