On Commutative Polarizations
Representation Theory
2007-05-23 v1
Abstract
The purpose of this paper is to study finite-dimensional Lie algebras over a field k of characteristic zero which admit a commutative polarization (CP). Among the many results and examples, it is shown that, if k is algebraically closed, the nilradical N of a parabolic subalgebra in A_n and C_n has such a CP. Using this fact a simple closed formula is derived for the index of N.
Cite
@article{arxiv.math/0302229,
title = {On Commutative Polarizations},
author = {Alexader G. Elashvili and Alfons I. Ooms},
journal= {arXiv preprint arXiv:math/0302229},
year = {2007}
}
Comments
34 pages, 2 figures. Submitted to Journal of Algebra