The universal cover of an algebra without double bypass

Details The universal cover of an algebra without double bypass The universal cover of an algebra without double bypass

2005-07-25

arxiv.org/abs/math/0507513v4

Journal of Algebra 312, 1 (2007) 330--353

Mathematics

Representation Theory

This text (21 pages) gives detailed proofs of the results announced in a previous note of the author (The fundamental group of

Scientific paper

10.1016/j.jalgebra.2006.10.035

Let A be a basic finite dimensional and connected algebra over an algebraically closed field k with zero characteristic. If the ordinary quiver of A has no double bypasses, we show that A admits a Galois covering which satisfies a universal property with respect to the Galois coverings of A. This universal property is similar to the one of the universal cover of a connected topological space.

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