Parabolic sets of roots
Representation Theory
2009-04-14 v2 Rings and Algebras
Abstract
We compare two combinatorial definitions of parabolic sets of roots. We show that these definitions are equivalent for simple finite dimensional Lie algebras, affine Lie algebras, and toroidal Lie algebras. In contrast, these definitions are not always equivalent for simple finite dimensional Lie superalgebras.
Cite
@article{arxiv.0904.0041,
title = {Parabolic sets of roots},
author = {Ivan Dimitrov and Vyacheslav Futorny and Dimitar Grantcharov},
journal= {arXiv preprint arXiv:0904.0041},
year = {2009}
}
Comments
added remark