The universal cover of a monomial triangular algebra without multiple arrows

Patrick Le Meur (1)

1 CMLA - Centre de Mathématiques et de Leurs Applications

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.

Mots clés: groupe fondamental; revêtement galoisien; revêtement universel; algèbre de dimension finie; algèbre monomiale

Domaines: Théorie des représentations [math.RT]

Patrick Le Meur. The universal cover of a monomial triangular algebra without multiple arrows. Journal of Algebra and Its Applications, 2008, 7 (4), pp.443--469. ⟨10.1142/S0219498808002850⟩. ⟨hal-00123559v2⟩