扭曲群代数的对称Hochschild上同调

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2021-03-25 DOI:10.4310/hha.2022.v24.n1.a5

T. Coconeţ, C. Todea

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引用次数: 1

摘要

我们证明了对称群对双模中具有系数的扭曲群代数的Hochschild-cochain复形的作用。这允许我们定义扭曲群代数的对称Hochschild上同调，类似于Staic的对称群上同调的构造。给出了扭曲群代数的对称上同调空间和对称Hochschild上同调之间的显式嵌入和连接同态。

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Symmetric Hochschild cohomology of twisted group algebras

We show that there is an action of the symmetric group on the Hochschild cochain complex of a twisted group algebra with coefficients in a bimodule. This allows us to define the symmetric Hochschild cohomology of twisted group algebras, similarly to th construction of symmetric group cohomology due to Staic. We give explicit embeddings and connecting homomorphisms between the symmetric cohomology spaces and symmetric Hochschild cohomology of twisted group algebras.

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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.