Excellent affine spherical homogeneous spaces of semisimple algebraic groups

Abstract

A spherical homogeneous space $G/H$ of a connected semisimple algebraic group $G$ is called excellent if it is quasi-affine and its weight semigroup is generated by disjoint linear combinations of the fundamental weights of the group $G$. All the excellent affine spherical homogeneous spaces are classified up to isomorphism.