Structures on the Category of N-Complexes
arXiv:2401.18078
Abstract
The theory of -complexes is a generalization of both ordinary chain complexes and graded objects. Hence it yields deeper insight in the structure of these and offers a broader range of applications. This work generalizes the tensor product of chain complexes and graded objects to the case of -complexes using the structures of -binomial coefficients. We then study different approaches to realize the derived category of -complexes. In particular we realize it as the Verdier quotient of the homotopy category of -complexes, as the -projective objects and as the homotopy category of a category admitting a Quillen model structure.
58 pages, upload of thesis completed 2018. Comments are very welcome at [email protected]