Hopf-Galois objects of Calabi-Yau Hopf algebras

Abstract

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 Nakayama automorphism explicitly. As applications, cleft Galois objects of twisted Calabi-Yau Hopf algebras and Hopf-Galois objects of the quantum automorphism groups of non-degenerate bilinear forms are proved to be twisted Calabi-Yau.

arXiv admin note: text overlap with arXiv:1006.3014 by other authors

References in corpus (2)

• Calabi-Yau algebras
• On quantum groups associated to non-Noetherian regular algebras of dimension 2