Classification of derivation algebras in low dimensions
Loading...
Date
2018-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
King Saud University
Abstract
A left-symmetric algebra A is said to be a derivation algebra if all its left and right multiplications are derivations of the Lie algebra associated to A. In this paper, we shall study derivation algebras over R and then classify almost all those of dimensions ≤ 4
Description
Keywords
Extensions of left-symmetric algebras, Left-invariant affine connection, Novikov algebras, Derivation algebras
Citation
Arab Journal of Mathematical Sciences 24 (1) (2018) 101–124