Wonderful varieties of type D

Details Wonderful varieties of type D Wonderful varieties of type D

2004-10-21

arxiv.org/abs/math/0410472v1

Mathematics

Representation Theory

60 pages, AMSLaTeX, 11 eps files

Scientific paper

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.

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