Trisections of module categories

• Autorzy: José A. de la Peña , Idun Reiten
• Języki publikacji: EN

Abstrakty

EN

Let A be a finite-dimensional algebra over a field k. We discuss the existence of trisections (mod₊ A,mod₀ A,mod₋ A) of the category of finitely generated modules mod A satisfying exactness, standardness, separation and adjustment conditions. Many important classes of algebras admit trisections. We describe a construction of algebras admitting a trisection of their module categories and, in special cases, we describe the structure of the components of the Auslander-Reiten quiver lying in mod₀ A.

Kategorie tematyczne

• 16G20: Representations of quivers and partially ordered sets
• 16G60: Representation type (finite, tame, wild, etc.)
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 18G20: Homological dimension

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2007
• Tom: 107
• Numer: 2
• Strony: 191-219

Daty

wydano

2007

Twórcy

autor

José A. de la Peña

• Instituto de Matemáticas, UNAM, Circuito Exterior, Ciudad Universitaria, México 04510, D.F., México

autor

Idun Reiten

• Institutt for Matematikk og Statistikk, Universitetet i Trondheim, AVH, N-7055 Dragvoll, Norway

Identyfikatory

DOI

10.4064/cm107-2-3