论文标题
某些扭曲的张量产品的同型升降机和Hochschild共同学
Homotopy liftings and Hochschild cohomology of some twisted tensor products
论文作者
论文摘要
代数的张量产物的Hochschild共同体是同构的，是Hochschild共同体学代数的分级张量产物，作为Gerstenhaber代数。当张量产物被双叉晶状体扭曲时，类似的结果也会产生。我们使用Volkov的同型升降机提出了这些同构的新证明，这些升降机用于处理以任意双模型分辨率表达的Gerstenhaber支架。我们的结果说明了出于理论目的的同型提升的实用性。
The Hochschild cohomology of a tensor product of algebras is isomorphic to a graded tensor product of Hochschild cohomology algebras, as a Gerstenhaber algebra. A similar result holds when the tensor product is twisted by a bicharacter. We present new proofs of these isomorphisms, using Volkov's homotopy liftings that were introduced for handling Gerstenhaber brackets expressed on arbitrary bimodule resolutions. Our results illustrate the utility of homotopy liftings for theoretical purposes.
