Artin Algebras with Loops but no Outer Derivations
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
We construct Artin algebras with vanishing first Hochschild Cohomology but a loop in their ordinary quiver. Some authors guessed earlier that such examples could not exist.
Cite
@article{arxiv.math/9907008,
title = {Artin Algebras with Loops but no Outer Derivations},
author = {R. -O. Buchweitz and S. Liu},
journal= {arXiv preprint arXiv:math/9907008},
year = {2007}
}
Comments
12 pages