About categorification of cyclotomic integers and tensored N-complexes

Abstract

We prove that the ideal used in recent works to categorify the cyclotomic integers is generated by a cyclotomic polynomial. Moreover, we publish a proof by T. Ekedahl that the $q$-binomial relations used in the tensor product of $N$-complexes makes it necessary for the category to be enriched over the cyclotomic integers.

4 pages