Generalized differential spaces with $d^N=0$ and the $q$-differential calculus
Dubois-Violette, Michel
HAL, hal-00013524 / Harvested from HAL
Text on HAL
We present some results concerning the generalized homologies associated with nilpotent endomorphisms $d$ such that $d^N=0$ for some integer $N\\geq 2$. We then introduce the notion of graded $q$-differential algebra and describe some examples. In particular we construct the $q$-analog of the simplicial differential on forms, the $q$-analog of the Hochschild differential and the $q$-analog of the universal differential envelope of an associative unital algebra.
Publié le : 1996-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00013524,
     author = {Dubois-Violette, Michel},
     title = {Generalized differential spaces with $d^N=0$ and the $q$-differential calculus},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013524}
}

Dubois-Violette, Michel. Generalized differential spaces with $d^N=0$ and the $q$-differential calculus. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013524/