Simple connectedness of quasitilted algebras
Representation Theory
2007-05-23 v1
Abstract
Let A be a basic connected finite dimensional algebra over an algebraically closed field. Assuming that A is quasitilted, we prove that A is simply connected if and only if its first Hochschild cohomology group HH^1(A) vanishes. This generalises a result of I. Assem, F.U. Coelho and S. Trepode and which proves the same equivalence for tame quasitilted algebras.
Keywords
Cite
@article{arxiv.0705.0472,
title = {Simple connectedness of quasitilted algebras},
author = {Patrick Le Meur},
journal= {arXiv preprint arXiv:0705.0472},
year = {2007}
}
Comments
This note is a complement to the preprint arXiv:math/0702457 of the author and in which the same characterisation of simple connectedness is proved for piecewise hereditary algebras of type a quiver