Cleft extensions of Koszul twisted Calabi-Yau algebras

Xiaolan Yu, Fred Van Oystaeyen, Yinhuo Zhang

Let $H$ be a twisted Calabi-Yau (CY) algebra and $\sigma$ a 2-cocycle on $H$. Let $A$ be an $N$-Koszul twisted CY algebra such that $A$ is a graded $H^{\sigma }$-module algebra. We show that th…