%0 Journal Article
%T Spherical subgroups of Kac-Moody groups and transitive actions on spherical varieties
%A Guido Pezzini
%J Mathematics
%D 2014
%I arXiv
%X We define and study a class of spherical subgroups of a Kac-Moody group. In analogy with the standard theory of spherical varieties, we introduce a combinatorial object associated with such a subgroup, its homogeneous spherical datum, and we prove that it satisfies the same axioms as in the finite-dimensional case. Our main tool is a study of varieties that are spherical under the action of a connected reductive group L, and come equipped with a transitive action of a group containing L as a Levi subgroup.
%U http://arxiv.org/abs/1408.3347v2