Index and stable linear forms of Lie algebras
Representation Theory
2007-05-23 v1
Abstract
We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simple Lie algebra. Finally, we give an example of a parabolic subalgebra of a semi-simple Lie algebra which does not admit any stable linear form.
Cite
@article{arxiv.math/0302048,
title = {Index and stable linear forms of Lie algebras},
author = {Patrice Tauvel and Rupert W. T. Yu},
journal= {arXiv preprint arXiv:math/0302048},
year = {2007}
}
Comments
This paper is written in French