22 citations · 57 across the 27 of their papers we have counts for
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The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras
Mengtian Guo, Xianguo Hu, Jiafeng Lu +1
In this paper, the so-called differential graded (DG for short) Poisson Hopf algebra is introduced, which can be considered as a natural extension of Poisson Hopf algebras in the d…
PBW-basis for universal enveloping algebras of differential graded Poisson algebras
Xianguo Hu, Jiafeng Lu, Xingting Wang
For any differential graded (DG for short) Poisson algebra given by generators and relations, we give a "formula" for computing the universal enveloping algebra of . M…
A note on the bijectivity of antipode of a Hopf algebra and its applications
Jiafeng Lv, Sei-Qwon Oh, Xingting Wang +1
Certain sufficient homological and ring-theoretical conditions are given for a Hopf algebra to have bijective antipode with applications to noetherian Hopf algebras regarding their…
Enveloping algebras of double Poisson-Ore extensions
Jiafeng Lü, Sei-Qwon Oh, Xingting Wang +1
It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are preserved under itera…