Killing Forms of Isotropic Lie Algebras
Representation Theory
2010-02-19 v1 Rings and Algebras
Abstract
This paper presents a method for computing the Killing form of an isotropic Lie algebra defined over an arbitrary field based on the Killing form of a subalgebra containing its anisotropic kernel. This approach allows for streamlined formulas for many Lie algebras of types E6 and E7 and yields a unified formula for all Lie algebras of inner type E6, including the anisotropic ones.
Keywords
Cite
@article{arxiv.1002.3525,
title = {Killing Forms of Isotropic Lie Algebras},
author = {Audrey Malagon},
journal= {arXiv preprint arXiv:1002.3525},
year = {2010}
}