Hopf-Galois objects of Calabi-Yau Hopf algebras

2015/11/28 by Xiaolan Yu, Yu, Xiaolan
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1511.08860

openalex publication_date 2015/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

Related

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• Skew Calabi-Yau property of faithfully flat Hopf Galois extensions
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