2012/07/18 by D. -G. Wang, J. J. Zhang, Wang, D. -G. +3
Mathematics · #16A24 #16W30 #57T05 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16A24 #msc:16W30 #msc:57T05
paper · pdf · doi:10.48550/arxiv.1207.4257
21 pages
arxiv created 2013/04/24 · arxiv updated 2013/04/25
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].