Left-symmetric Algebras From Linear Functions
arXiv:math/0406325
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.
16 pages, accepted for publication in Journal of Algebra