Wonderful varieties of type D
Representation Theory
2007-05-23 v1
Abstract
Let G be a complex connected semisimple group, whose simple components have type A or D. We prove that wonderful G-varieties are classified by means of combinatorial objects called spherical systems. This is a generalization of a known result of Luna for groups of type A; thanks to another result of Luna, this implies also the classification of all spherical G-varieties for the groups G we are considering. For these G we also prove the smoothness of the embedding of Demazure.
Cite
@article{arxiv.math/0410472,
title = {Wonderful varieties of type D},
author = {Paolo Bravi and Guido Pezzini},
journal= {arXiv preprint arXiv:math/0410472},
year = {2007}
}
Comments
60 pages, AMSLaTeX, 11 eps files