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arXiv 0812.4312math.QAmath.KT
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代数(余)同调论中的对偶与乘积

Duality and products in algebraic (co)homology theories

Niels Kowalzig, Ulrich Kraehmer

摘要:

代数(共)同调论中的积和对偶的起源和相互作用归因于相关泛包络代数上的$\times_A$ -霍普夫代数结构。这提供了一个统一的治疗结果的例子范登伯格约Hochschild(co)同源性和Huebschmann约李莱因哈特(co)同源性。

英文摘要:

The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a $\times_A$-Hopf algebra structure on the relevant universal enveloping algebra. This provides a unified treatment for example of results by Van den Bergh about Hochschild (co)homology and by Huebschmann about Lie-Rinehart (co)homology.

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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