首页 | 本学科首页   官方微博 | 高级检索  
     检索      


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, yz = 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
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号