Xingting Wang

activity

20142023

p^{3}

-dimensional Hopf algebras in positive characteristic

6 citations · 11 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.RA2023

Weighted Poisson polynomial rings

Hongdi Huang, Xin Tang, Xingting Wang +1

We discuss Poisson structures on a weighted polynomial algebra $A := k [x, y, z]$ defined by a homogeneous element $Ω \in A$ , called a potential. We start with classifying potentia…

math.RA2023

Poisson valuations

Hongdi Huang, Xin Tang, Xingting Wang +1

We study Poisson valuations and provide their applications in solving problems related to rigidity, automorphisms, Dixmier property, isomorphisms, and embeddings of Poisson algebra…

math.RA2016★ 3 cited

Calabi-Yau property under monoidal Morita-Takeuchi equivalence

Xingting Wang, Xiaolan Yu, Yinhuo Zhang

Let $H$ and $L$ be two Hopf algebras such that their comodule categories are monoidal equivalent. We prove that if $H$ is a twisted Calabi-Yau (CY) Hopf algebra, then $L$ is a twis…

math.RA2016★ 6 cited

Pointed $p^{3}$ -dimensional Hopf algebras in positive characteristic

Van C. Nguyen, Xingting Wang

We classify pointed $p^{3}$ -dimensional Hopf algebras $H$ over any algebraically closed field $k$ of prime characteristic $p > 0$ . In particular, we focus on the cases when the group $…

math.RA2014

A note on the duality between Poisson homology and cohomology

Jiafeng Lü, Xingting Wang, Guangbin Zhuang

For a Poisson algebra $A$ , by studying its universal enveloping algebra $A^{p e}$ , we prove a duality theorem between Poisson homology and cohomology of $A$ .