Coassociative Lie algebras

D. -G. Wang; J. J. Zhang; G. Zhuang

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arXiv · 1207.4257

Coassociative Lie algebras

D. -G. Wang·J. J. Zhang·G. Zhuang

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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].

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D. -G. Wang, J. J. Zhang, G. Zhuang. 2013-04-24. Coassociative Lie algebras. https://arxiv.org/abs/1207.4257

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