A note on extensions of nilpotent algebras of Type 2
Rings and Algebras
2016-11-26 v1
Abstract
We propose the study and description of the structure of complex Lie algebras with nilradical a nilpotent Lie algebra of type 2 by using sl2(C)-representation theory. Our results will be applied to review the classification given in [1] (J. Geometry and Physics, 2011) of the Lie algebras with nilradical the quasiclassical algebra L5;3. A non-Lie algebra has been erroneously included in this classification. The 5-dimensional Lie algebra L5;3 is a free nilpotent algebra of type 2 and it is one of two free nilpotent algebras admitting an invariant metric. According to [, Ok98] quasiclassical algebras let construct consistent Yang-Mills gauge theories.
Keywords
Cite
@article{arxiv.1307.8419,
title = {A note on extensions of nilpotent algebras of Type 2},
author = {Pilar Benito and Daniel de-la-Concepción},
journal= {arXiv preprint arXiv:1307.8419},
year = {2016}
}
Comments
19 pages, research article