Non-commutative duplicates of finite sets
Rings and Algebras
2007-06-17 v2 K-Theory and Homology
Quantum Algebra
Abstract
We classify the twisted tensor products of a finite set algebra with a two elements set algebra using colored quivers obtained through considerations analogous to Ore extensions. This provides also a classification of entwining structures between a finite set algebra and the grouplike coalgebra on two elements. The resulting 2-nilpotent algebras have particular features with respect to Hochschild (co)homology and cyclic homology.
Cite
@article{arxiv.math/0405593,
title = {Non-commutative duplicates of finite sets},
author = {Claude Cibils},
journal= {arXiv preprint arXiv:math/0405593},
year = {2007}
}
Comments
To appear in Journal of Algebra and Its Applications