关于Hochschild上同调和Koszul对偶的评述

Advances in Representation Theory of Algebras Pub Date : 2019-11-03 DOI:10.1090/CONM/761/15312

B. Keller

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引用次数: 4

摘要

应用Lowen-Van den Bergh的最新结果，我们证明了Hochschild上同调作为Gerstenhaber代数在Koszul-Moore对偶下是保持的。更准确地说，对应的Hochschild复合体是由b无穷代数的拟同构连接起来的。

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A remark on Hochschild cohomology and Koszul duality

Applying recent results by Lowen-Van den Bergh we show that Hochschild cohomology is preserved under Koszul-Moore duality as a Gerstenhaber algebra. More precisely, the corresponding Hochschild complexes are linked by a quasi-isomorphism of B-infinity-algebras.

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Advances in Representation Theory of Algebras

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