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COASSOCIATIVE LIE ALGEBRAS

Published online by Cambridge University Press:  01 October 2013

D.-G. WANG ,
J. J. ZHANG  and
G. ZHUANG
D.-G. WANG
Affiliation:
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, P. R. China e-mail: [email protected]
J. J. ZHANG
Affiliation:
Department of Mathematics, Box 354350, University of Washington, Seattle, WA 98195, USA e-mail: [email protected]
G. ZHUANG
Affiliation:
e-mail: [email protected]
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Abstract

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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 non-commutative and non-cocommutative Hopf algebras and leads to the classification of connected Hopf algebras of Gelfand–Kirillov dimension four in Wang et al. (Trans. Amer. Math. Soc., to appear).

Keywords

Primary 16A2416W3057T05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue A: New developments in Noncommutative Algebra and its applications. A conference in honour of Kenny Brown's and Toby Stafford's 60th birthdays. , October 2013 , pp. 195 - 215
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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