Calabi-Yau property under monoidal Morita-Takeuchi equivalence
Calabi-Yau property under monoidal Morita-Takeuchi equivalence
复制标题
幺半群 Morita-Takeuchi 等价下的 Calabi-Yau 性质
DOI:
10.2140/pjm.2017.290.481
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发表时间:
2016-10
期刊:
影响因子:
--
通讯作者:
Zhang Yinhuo
中科院分区:
文献类型:
--
作者:
Wang Xingting;Yu Xiaolan;Zhang Yinhuo
Let $H$ and $L$ be two Hopf algebras such that their comodule categories are monoidal equivalent. We prove that if $H$ is a twisted Calabi-Yau (CY) Hopf algebra, then $L$ is a twisted CY algebra when it is homologically smooth. Especially, if $H$ is a Noetherian twisted CY Hopf algebra and $L$ has finite global dimension, then $L$ is a twisted CY algebra.
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