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arXiv · 1610.00092

Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups

Constantin-Cosmin Todea
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Abstract

We give an explicit approach for Bockstein homomorphisms of the Hochschild cohomology of a group algebra and of a block algebra of a finite group and we show some properties. To give explicit definitions for these maps we use an additive decomposition and a Product Formula for the Hochschild cohomology of group algebras given by Siegel and Witherspoon in 1999. For k an algebraically closed field of characteristic p and G a finite group we prove an additive decomposition and a Product Formula for the cohomology algebra of a defect group of a block ideal of kG with coefficients in the source algebra of this block, and we define similar Bockstein homomorphisms.

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Constantin-Cosmin Todea. 2016-10-01. Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups. https://arxiv.org/abs/1610.00092

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