English

$d^N=0$

q-alg 2007-05-23 v2 Quantum Algebra

Abstract

We study the generalized homology associated with a nilpotent endomorphism dd satisfying dN=0d^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.

Keywords

Cite

@article{arxiv.q-alg/9710021,
  title  = {$d^N=0$},
  author = {Michel Dubois-Violette},
  journal= {arXiv preprint arXiv:q-alg/9710021},
  year   = {2007}
}

Comments

54 pages, AMS-LaTeX using pb-diagram. Lemma 6 modified and index added in p.41 line 5