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7 papers · 1 filter
The construction of braided -category via Yetter-Drinfeld-Long bimodules
Daowei Lu, Yan Ning, Dingguo Wang
Let and be Hopf algebras which are not necessarily finite dimensional and . In this paper, we introduce a category ${}_{…
On the structure of split regular Hom-Lie Rinehart algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
The aim of this paper is to study the structures of split regular Hom-Lie Rinehart algebras. Let be a split regular Hom-Lie Rinehart algebra. We first show that is of t…
Central invariants and enveloping algebras of braided Hom-Lie algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
Let be a monoidal Hom-Hopf algebra and the Hom-Yetter-Drinfeld category over . Then in this paper, we first introduce the definition of braid…
Braided monoidal categories and Doi Hopf modules for monoidal Hom-Hopf algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
We first introduce the notion of Doi Hom-Hopf modules and find the sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. Also we obtain the condition for th…
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.
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…