Publication View

The universal cover of an algebra without double bypass (2005)

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.ccsd.cnrs.fr/ccsd-00007672/en/
Source http://hal.ccsd.cnrs.fr/docs/00/09/79/41/PDF/universal_cover.pdf
Publisher HAL - CCSd - CNRS
Contributors Patrick Le Meur
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Representation Theory
Language Englisch
Coverage quiver with relations; fundamental group; homotopy relation; covering; galois covering; covering functor; universal cover