34 citations · 224 across the 54 of their papers we have counts for
4 papers · 1 filter
Calabi-Yau property under monoidal Morita-Takeuchi equivalence
Xingting Wang, Xiaolan Yu, Yinhuo Zhang
Let and be two Hopf algebras such that their comodule categories are monoidal equivalent. We prove that if is a twisted Calabi-Yau (CY) Hopf algebra, then is a twis…
Pointed -dimensional Hopf algebras in positive characteristic
Van C. Nguyen, Xingting Wang
We classify pointed -dimensional Hopf algebras over any algebraically closed field of prime characteristic . In particular, we focus on the cases when the group $…
Homological unimodularity and Calabi-Yau condition for Poisson algebras
Jiafeng Lü, Xingting Wang, Guangbin Zhuang
In this paper, we show that the twisted Poincaré duality between Poisson homology and cohomology can be derived from the Serre invertible bimodule. This gives another definition of…
On quantum groups associated to a pair of preregular forms
Alexandru Chirvasitu, Chelsea Walton, Xingting Wang
We define the universal quantum group that preserves a pair of Hopf comodule maps, whose underlying vector space maps are preregular forms defined on dual vector spac…