Geodesic
Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup
Sbornik. Mathematics, Tome 203 (2012) no. 11, pp. 1535-1552 Cet article a éte moissonné depuis la source Math-Net.Ru

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For an affine spherical homogeneous space $G/H$ of a connected semisimple algebraic group $G$, we consider the factorization morphism by the action on $G/H$ of a maximal unipotent subgroup of $G$. We prove that this morphism is equidimensional if and only if the weight semigroup of $G/H$ satisfies a simple condition. Bibliography: 16 titles.
Keywords: homogeneous space, spherical subgroup, semigroup.
Mots-clés : algebraic group, equidimensional morphism 
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R. S. Avdeev. Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup. Sbornik. Mathematics, Tome 203 (2012) no. 11, pp. 1535-1552. http://geodesic.mathdoc.fr/item/SM_2012_203_11_a0/

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