Combinatorial characterization of the weight monoids of smooth affine spherical varieties
Algebraic Geometry
2016-03-30 v2 Representation Theory
Abstract
Let G be a connected complex reductive group. A well known theorem of I. Losev's says that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreducible representations of G that occur in the coordinate ring of X. In this paper, we use the combinatorial theory of spherical varieties and a smoothness criterion of R. Camus to characterize the weight monoids of smooth affine spherical varieties.
Keywords
Cite
@article{arxiv.1510.04266,
title = {Combinatorial characterization of the weight monoids of smooth affine spherical varieties},
author = {Guido Pezzini and Bart Van Steirteghem},
journal= {arXiv preprint arXiv:1510.04266},
year = {2016}
}
Comments
v1: 33 pages. v2: 36 pages, improved exposition, updated references and citations