Super 3-Lie Algebras Induced by Super Lie Algebras
Rings and Algebras
2014-10-23 v1
Abstract
We propose a notion of a super n-Lie algebra and construct a super n-Lie algebra with the help of a given binary super Lie algebra which is equipped with an analog of a supertrace. We apply this approach to the super Lie algebra of a Clifford algebra with even number of generators and making use of a matrix representation of this super Lie algebra given by a supermodule of spinors we construct a series of super 3-Lie algebras labeled by positive even integers.
Keywords
Cite
@article{arxiv.1410.5923,
title = {Super 3-Lie Algebras Induced by Super Lie Algebras},
author = {Viktor Abramov},
journal= {arXiv preprint arXiv:1410.5923},
year = {2014}
}
Comments
7 pages, 10th International Conference on Clifford Algebras and their Applications, Tartu, Estonia