Resolutions for twisted tensor products
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Publication:1741442
DOI10.2140/PJM.2019.298.445zbMATH Open1452.16003arXiv1610.00583OpenAlexW2963115423MaRDI QIDQ1741442
Author name not available (Why is that?)
Publication date: 3 May 2019
Published in: (Search for Journal in Brave)
Abstract: We build resolutions for general twisted tensor products of algebras. These bimodule and module resolutions unify many constructions in the literature and are suitable for computing Hochschild (co)homology and more generally Ext and Tor for (bi)modules. We analyze in detail the case of Ore extensions, consequently obtaining Chevalley-Eilenberg resolutions for universal enveloping algebras of Lie algebras (defining the cohomology of Lie groups and Lie algebras). Other examples include semidirect products, crossed products, Weyl algebras, Sridharan enveloping algebras, and Koszul pairs.
Full work available at URL: https://arxiv.org/abs/1610.00583
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