Mixed vs Stable Anti-Yetter-Drinfeld Contramodule
K-Theory and Homology
2021-03-18 v2
Abstract
We examine the cyclic homology of the monoidal category of modules over a finite dimensional Hopf algebra, motivated by the need to demonstrate that there is a difference between the recently introduced mixed anti-Yetter-Drinfeld contramodules and the usual stable anti-Yetter-Drinfeld contramodules. Namely, we show that Sweedler's Hopf algebra provides an example where mixed complexes in the category of stable anti-Yetter-Drinfeld contramodules (previously studied) are not equivalent, as differential graded categories to the category of mixed anti-Yetter-Drinfeld contramodules (recently introduced).
Cite
@article{arxiv.2010.02768,
title = {Mixed vs Stable Anti-Yetter-Drinfeld Contramodule},
author = {Ilya Shapiro},
journal= {arXiv preprint arXiv:2010.02768},
year = {2021}
}