Publication View

The universal cover of an algebra without double bypass (2007)

Abstract
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.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00007672/en/
Publisher HAL - CCSD
Repository INRIA a CCSD electronic archive server based on P.A.O.L (France)
Keywords Mathematics/Representation Theory, quiver with relations, fundamental group, homotopy relation, covering, galois covering, covering functor, universal cover
Type peer-reviewed article
Language English
Relation http://hal.archives-ouvertes.fr/docs/00/11/47/59/PDF/universal_cover.pdf