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$d^N=0$

Michel Dubois-Violette
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Abstract

We study the generalized homology associated with a nilpotent endomorphism $d$ satisfying $d^N=0$. For simplicial modules we construct such nilpotent endomorphisms and we prove a general result relating the corresponding generalized homologies to the ordinary homology. We also discuss the generalization of the notion of graded differential algebra in this context.

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Michel Dubois-Violette. 1997-10-28. $d^N=0$. https://arxiv.org/abs/q-alg/9710021

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