Coassociative Lie algebras
Rings and Algebras
2013-04-25 v2
Abstract
A coassociative Lie algebra is a Lie algebra equipped with a coassociative coalgebra structure satisfying a compatibility condition. The enveloping algebra of a coassociative Lie algebra can be viewed as a coalgebraic deformation of the usual universal enveloping algebra of a Lie algebra. This new enveloping algebra provides interesting examples of noncommutative and noncocommutative Hopf algebras and leads to a classification of connected Hopf algebras of Gelfand-Kirillov dimension four in [WZZ].
Cite
@article{arxiv.1207.4257,
title = {Coassociative Lie algebras},
author = {D. -G. Wang and J. J. Zhang and G. Zhuang},
journal= {arXiv preprint arXiv:1207.4257},
year = {2013}
}
Comments
21 pages