Generalized differential spaces with $d^N=0$ and the $q$-differential calculus
q-alg
2016-09-08 v1 Quantum Algebra
Abstract
We present some results concerning the generalized homologies associated with nilpotent endomorphisms such that for some integer . We then introduce the notion of graded -differential algebra and describe some examples. In particular we construct the -analog of the simplicial differential on forms, the -analog of the Hochschild differential and the -analog of the universal differential envelope of an associative unital algebra.
Keywords
Cite
@article{arxiv.q-alg/9609012,
title = {Generalized differential spaces with $d^N=0$ and the $q$-differential calculus},
author = {Michel Dubois-Violette},
journal= {arXiv preprint arXiv:q-alg/9609012},
year = {2016}
}
Comments
8 pages, Latex2e, uses pb-diagram, available at http://qcd.th.u-psud.fr, to be published in the Proceedings of the 5th Colloquium ``Quantum Groups and Integrable Systems", Prague, June 1996