Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup

Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup

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 co...

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Veröffentlicht in:Sbornik. Mathematics 2012-11, Vol.203 (11), p.1535-1552, Article 3
1. Verfasser: Avdeev, Roman S
Format: Artikel
Sprache:eng
Schlagworte:
FACTORIZATION
GROUP THEORY
MATHEMATICAL METHODS AND COMPUTING
SPACE
SPHERICAL CONFIGURATION
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Zusammenfassung: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.
ISSN:0368-8666
1064-5616
1468-4802
DOI:10.1070/SM2012v203n11ABEH004274