Bulg. J. Phys. vol.36 no.3 (2009), pp. 227-236


Tensor Product of N-complexes and Generalization of Graded Differential Algebras

M. Dubois-Violette
Laboratoire de Physique Théorique, UMR 8627 Université Paris XI, Bâtiment 210 F-91 405 Orsay Cedex, France
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 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.

Full-text: PDF

go back