Left-symmetric Algebras From Linear Functions
Quantum Algebra
2007-11-24 v1 Mathematical Physics
math.MP
Abstract
In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain 2-dimensional left-symmetric algebras.
Cite
@article{arxiv.math/0406325,
title = {Left-symmetric Algebras From Linear Functions},
author = {Chengming Bai},
journal= {arXiv preprint arXiv:math/0406325},
year = {2007}
}
Comments
16 pages, accepted for publication in Journal of Algebra