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arXiv · 1511.08860

Hopf-Galois objects of Calabi-Yau Hopf algebras

Xiaolan Yu
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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.

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Xiaolan Yu. 2015-11-28. Hopf-Galois objects of Calabi-Yau Hopf algebras. https://arxiv.org/abs/1511.08860

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