Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup
Algebraic Geometry
2013-01-23 v3 Representation Theory
Abstract
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 some simple condition.
Keywords
Cite
@article{arxiv.1106.5677,
title = {Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup},
author = {Roman Avdeev},
journal= {arXiv preprint arXiv:1106.5677},
year = {2013}
}
Comments
v2: title and abstract changed; v3: 16 pages, minor corrections