Partitions of the wonderful group compactification
Representation Theory
2007-05-23 v2 Quantum Algebra
Abstract
We define and study a family of partitions of the wonderful compactification \bar{G} of a semi-simple algebraic group G of adjoint type. The partitions are obtained from subgroups of G \times G associated to triples (A_1, A_2, a), where A_1 and A_2 are subgraphs of the Dynkin graph \Gamma of G and a : A_1 \to A_2 is an isomorphism. The partitions of \bar{G} of Springer and Lusztig correspond respectively to the triples (\emptyset, \emptyset, \id) and (\Gamma, \Gamma, \id).
Cite
@article{arxiv.math/0606579,
title = {Partitions of the wonderful group compactification},
author = {Jiang-Hua Lu and Milen Yakimov},
journal= {arXiv preprint arXiv:math/0606579},
year = {2007}
}
Comments
24 pages, AMS Latex, minor revisions in v2