秩为1的有限维pointed Hopf代数的稳定范畴中的Calabi-Yau对象

摘要

设H是秩为1的有限维pointed Hopf代数.借助于Cibils以及张的结果,本文描述了H的稳定范畴H-mod中的极小、以至所有Calabi-Yau对象.%Let H be an arbitrary finite dimensional pointed Hopf algebra of rank one.We use the results due to Cibils and Zhang to determine the minimal,consequently all Calabi-Yau objects in the stable module category H-mod of H.