Galois coverings of weakly shod algebras
Representation Theory
2011-01-20 v2
Abstract
We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a consequence, we show that a weakly shod algebra is simply connected if and only if its first Hochschild cohomology group vanishes.
Keywords
Cite
@article{arxiv.0809.5122,
title = {Galois coverings of weakly shod algebras},
author = {Patrick Le Meur},
journal= {arXiv preprint arXiv:0809.5122},
year = {2011}
}
Comments
Some references were added. The proof of Lemma 6.5 was modified