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math.RA2013★ 2 cited
Connected Hopf algebras of Gelfand-Kirillov dimension four
D. -G. Wang, J. J. Zhang, G. Zhuang
We classify connected Hopf algebras of Gelfand-Kirillov dimension 4 over an algebraic closed field of characteristic zero.
math.RA2012
Coassociative Lie algebras
D. -G. Wang, J. J. Zhang, G. Zhuang
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 a…
math.RA2011★ 3 cited
Hopf algebras of GK-dimension two with vanishing Ext-group
D. -G. Wang, J. J. Zhang, G. Zhuang
We construct and study a family of finitely generated Hopf algebra domains of Gelfand-Kirillov dimension two such that $\Ext^1_H(k,k)=0$. Consequently, we answer a question of…