The universal cover of a monomial triangular algebra without multiple arrows
Representation Theory
2008-09-29 v2
Abstract
Let A be a basic connected finite dimensional algebra over an algebraically closed field k. Assuming that A is monomial and that the ordinary quiver Q of A has no oriented cycle and no multiple arrows, we prove that A admits a universal cover with group the fundamental group of the underlying space of Q.
Keywords
Cite
@article{arxiv.math/0701282,
title = {The universal cover of a monomial triangular algebra without multiple arrows},
author = {Patrick Le Meur},
journal= {arXiv preprint arXiv:math/0701282},
year = {2008}
}
Comments
Revised version: the introduction was entirely modified. To appear in Journal of Algebra and its Applications