On I-null Lie algebras
Rings and Algebras
2012-06-04 v2
Abstract
We consider the class of Lie algebras for which the Koszul 3-form is zero, and prove that it contains all quotients of Borel subalgebras, or of their nilradicals, of finite dimensional semi-simple Lie algebras. A list of Kac-Moody types for indecomposable nilpotent Lie algebras of dimension at most 7 is given.
Cite
@article{arxiv.1010.4660,
title = {On I-null Lie algebras},
author = {Louis Magnin},
journal= {arXiv preprint arXiv:1010.4660},
year = {2012}
}
Comments
20 pages, 2 Tables. This is an in-depth revised and improved version of the paper. Some parts have been completely rewritten or expanded and all misprints and a couple errors corrected. A recent reference to index the hyperbolic types has been added in table 2. The paper will appear in the Revista de la Union Matematica Argentina. arXiv admin note: substantial text overlap with arXiv:0812.2741