Relative Auslander-Reiten sequences for quasi-hereditary algebras

• Autorzy: Karin Erdmann , José Antonio de la Peña , Corina Sáenz
• Języki publikacji: EN

Abstrakty

EN

Let A be a finite-dimensional algebra which is quasi-hereditary with respect to the poset (Λ, ≤), with standard modules Δ(λ) for λ ∈ Λ. Let ℱ(Δ) be the category of A-modules which have filtrations where the quotients are standard modules. We determine some inductive results on the relative Auslander-Reiten quiver of ℱ(Δ).

Kategorie tematyczne

• 17B10: Representations, algebraic theory (weights)
• 18G25: Relative homological algebra, projective classes
• 20G05: Representation theory
• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 1
• Strony: 123-142

Daty

wydano

2002

Twórcy

autor

Karin Erdmann

• Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB, UK

autor

José Antonio de la Peña

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

autor

Corina Sáenz

• Facultad de Matemáticas, Apdo. Postal 402, Guanajuato GTO 36000, Mexico

Identyfikatory

DOI

10.4064/cm91-1-9