Mathematics – Quantum Algebra
Scientific paper
1997-05-02
Publ. RMIS, Kyoto Univ., t. 34, (1998), p. 91-114
Mathematics
Quantum Algebra
french, 23 pages, Plain TeX
Scientific paper
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.
Kassel Christian
Wambst Marc
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