Wonderful varieties of type D

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
60 pages, AMSLaTeX, 11 eps files

Keywords

Representation Theory, 14L30 (Primary) 14M17 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/72963

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410472
 http://arxiv.org/abs/math/0410472

Collections

arXiv