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

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.

v2: title and abstract changed; v3: 16 pages, minor corrections

References in corpus (2)

• Extended weight semigroups of affine spherical homogeneous spaces of non-simple semisimple algebraic groups
• Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Cited by in corpus (1)

• On the extended weight monoid and its applications to orthogonal polynomials