3 citations · 7 across the 10 of their papers we have counts for
10 papers
Calabi-Yau property of Quantum Groups of Representation Type
Xiaolan Yu, Xingting Wang
In this paper, we prove that the quantum groups introduced by Mrozinski and their Hopf-Galois objects are twisted Calabi-Yau algebras, and give their Nakayama automorphism…
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…
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…
Hopf-Galois objects of Calabi-Yau Hopf algebras
Xiaolan Yu
By using the language of cogroupoids, we show that Hopf-Galois objects of a twisted Calabi-Yau Hopf algebra with bijective antipode are still twisted Calabi-Yau, and give their Nak…
Cleft extensions of Koszul twisted Calabi-Yau algebras
Xiaolan Yu, Fred Van Oystaeyen, Yinhuo Zhang
Let be a twisted Calabi-Yau (CY) algebra and a 2-cocycle on . Let be an -Koszul twisted CY algebra such that is a graded -module algebra. We show that th…