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Algèbre homologique des N-complexes et homologie de Hochschild aux racines de l'unité

Christian Kassel·Marc Wambst
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Abstract

We set up a homological algebra for N-complexes, which are graded modules together with a degree -1 endomorphism d satisfying d^N=0. We define Tor- and Ext-groups for N-complexes and we compute them in terms of their classical counterparts (N=2). As an application, we get an alternative definition of the Hochschild homology of an associative algebra out of an N-complex whose differential is based on a primitive N-th root of unity.

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BibTeXRIS

Christian Kassel, Marc Wambst. 1997-05-02. Algèbre homologique des N-complexes et homologie de Hochschild aux racines de l'unité. https://arxiv.org/abs/q-alg/9705001

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