Tensor product of N-complexes and generalization of graded differential algebras
Quantum Algebra
2009-10-21 v1 Mathematical Physics
math.MP
Abstract
It is known that the notion of graded differential algebra coincides with the notion of monoid in the monoidal category of complexes. By using the monoidal structure introduced by M. Kapranov for the category of -complexes we define the corresponding generalization of graded differential algebras as the monoids of this category. It turns out that this generalization coincides with the notion of graded -differential algebra which has been previously introduced and studied.
Keywords
Cite
@article{arxiv.0910.3817,
title = {Tensor product of N-complexes and generalization of graded differential algebras},
author = {Michel Dubois-Violette},
journal= {arXiv preprint arXiv:0910.3817},
year = {2009}
}
Comments
12 pages. Dedicated to Ivan Todorov