Stable anti-Yetter-Drinfeld modules
Quantum Algebra
2016-09-07 v1 Rings and Algebras
Abstract
We define and study a class of entwined modules (stable anti-Yetter-Drinfeld modules) that serve as coefficients for the Hopf-cyclic homology and cohomology. In particular, we explain their relationship with Yetter-Drinfeld modules and Drinfeld doubles. Among sources of examples of stable anti-Yetter-Drinfeld modules, we find Hopf-Galois extensions with a flipped version of the Miyashita-Ulbrich action.
Cite
@article{arxiv.math/0405005,
title = {Stable anti-Yetter-Drinfeld modules},
author = {Piotr M. Hajac and Masoud Khalkhali and Bahram Rangipour and Yorck Sommerhaeuser},
journal= {arXiv preprint arXiv:math/0405005},
year = {2016}
}