Universal $q$-differential calculus and $q$-analog of homological algebra
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
We recall the definition of -differential algebras and discuss some representative examples. In particular we construct the -analog of the Hochschild coboundary. We then construct the universal -differential envelope of a unital associative algebra and study its properties. The paper also contains general results on .
Cite
@article{arxiv.q-alg/9608026,
title = {Universal $q$-differential calculus and $q$-analog of homological algebra},
author = {Michel Dubois-Violette and Richard Kerner},
journal= {arXiv preprint arXiv:q-alg/9608026},
year = {2008}
}
Comments
24 pages, Latex2e, uses pb-diagram, available at http://qcd.th.u-psud.fr