Tensor product of N-complexes and generalization of graded differential algebras

Details Tensor product of N-complexes and generalization of graded differential algebras Tensor product of N-complexes and generalization of graded differential algebras

2009-10-20

arxiv.org/abs/0910.3817v1

Mathematics

Quantum Algebra

12 pages. Dedicated to Ivan Todorov

Scientific paper

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 $N$-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 $q$-differential algebra which has been previously introduced and studied.

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