Calabi-Yau property of Quantum Groups of $GL(2)$ Representation Type

JOURNAL OF ALGEBRA AND ITS APPLICATIONS（2023）

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摘要

In this paper, we prove that the quantum groups $G(A,B)$ introduced by Mrozinski and their Hopf-Galois objects are twisted Calabi-Yau algebras, and give their Nakayama automorphisms explicitly.

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关键词

Calabi-Yau algebra,quantum group,cogroupoid

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