On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras |
| |
Authors: | Mohammed Guediri |
| |
Institution: | 1. Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabiamguediri@ksu.edu.sa |
| |
Abstract: | We discuss locally simply transitive affine actions of Lie groups G on finite-dimensional vector spaces such that the commutator subgroup G, G] is acting by translations. In other words, we consider left-symmetric algebras satisfying the identity x, y]·z = 0. We derive some basic characterizations of such left-symmetric algebras, and we highlight their relationships with the so-called Novikov algebras and derivation algebras. |
| |
Keywords: | Derivation algebras Left-invariant affine connections Left-symmetric algebras Novikov algebras |
|
|