Two classes of almost Galois coverings for algebras

• Autorzy: Piotr Dowbor , Adam Hajduk
• Języki publikacji: EN

Abstrakty

EN

We prove that for any representation-finite algebra A (in fact, finite locally bounded k-category), the universal covering F: Ã → A is either a Galois covering or an almost Galois covering of integral type, and F admits a degeneration to the standard Galois covering F̅: Ã→ Ã/G, where $G = Π(Γ_A)$ is the fundamental group of $Γ_A$. It is shown that the class of almost Galois coverings F: R → R' of integral type, containing the series of examples from our earlier paper [Bol. Soc. Mat. Mexicana 17 (2011)], behaves much more regularly than usual with respect to the standard properties of the pair $(F_λ, F_•)$ of adjoint functors associated to F.

Kategorie tematyczne

• 16G60: Representation type (finite, tame, wild, etc.)
• 16G99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 127
• Numer: 2
• Strony: 253-298

Daty

wydano

2012

Twórcy

autor

Piotr Dowbor

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland

autor

Adam Hajduk

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm127-2-8