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arXiv math/0207154math.KT
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内射Hopf双模、infinite dimensional霍普夫代数的上同调和Yoneda积的分次交换性

Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product

Rachel Taillefer

摘要:

证明了任意霍普夫代数上的霍普夫双模范畴都有足够的内射子,从而将文献[T1,T2]中关于霍普夫双模上同调统一的一些结果推广到无穷维情形.我们还证明了定义在这些上同调上的杯积是分次交换的。

英文摘要:

We prove that the category of Hopf bimodules over any Hopf algebra has enough injectives, which enables us to extend some results on the unification of Hopf bimodule cohomologies of [T1,T2] to the infinite dimensional case. We also prove that the cup-product defined on these cohomologies is graded-commutative.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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