Algèbre homologique des N-complexes et homologie de Hochschild aux racines de l'unité
Kassel, Christian ; Wambst, Marc
HAL, hal-00124665 / Harvested from HAL
Text on HAL
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.
Publié le : 1998-07-05
Classification:  homological algebra,  Hochschild homology,  simplicial module,  q-calculus,  MSC 18G25, 18G30, 18G35, 05A30, 81R50,  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00124665,
     author = {Kassel, Christian and Wambst, Marc},
     title = {Alg\`ebre homologique des N-complexes et homologie de Hochschild aux racines de l'unit\'e},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00124665}
}

Kassel, Christian; Wambst, Marc. Algèbre homologique des N-complexes et homologie de Hochschild aux racines de l'unité. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00124665/