Geodesic
Affine spherical homogeneous spaces with good quotient by a~maximal unipotent subgroup
Sbornik. Mathematics, Tome 203 (2012) no. 11, pp. 1535-1552

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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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     author = {R. S. Avdeev},
     title = {Affine spherical homogeneous spaces with good quotient by a~maximal unipotent subgroup},
     journal = {Sbornik. Mathematics},
     pages = {1535--1552},
     publisher = {mathdoc},
     volume = {203},
     number = {11},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_11_a0/}
}
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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/