dorsal/arxiv
View SchemaAlg\`ebre homologique des N-complexes et homologie de Hochschild aux racines de l'unit\'e
| Authors | Christian Kassel, Marc Wambst |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9705001 |
| URL | https://arxiv.org/abs/q-alg/9705001 |
| Journal | Publ. RIMS, Kyoto Univ., t. 34, (1998), p. 91-114 |
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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"abstract": "We set up a homological algebra for N-complexes, which are graded modules\ntogether with a degree -1 endomorphism d satisfying d^N=0. We define Tor- and\nExt-groups for N-complexes and we compute them in terms of their classical\ncounterparts (N=2). As an application, we get an alternative definition of the\nHochschild homology of an associative algebra out of an N-complex whose\ndifferential is based on a primitive N-th root of unity.",
"arxiv_id": "q-alg/9705001",
"authors": [
"Christian Kassel",
"Marc Wambst"
],
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"q-alg",
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"journal_ref": "Publ. RIMS, Kyoto Univ., t. 34, (1998), p. 91-114",
"title": "Alg\\`ebre homologique des N-complexes et homologie de Hochschild aux racines de l\u0027unit\\\u0027e",
"url": "https://arxiv.org/abs/q-alg/9705001"
},
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