A+ CATEGORY SCIENTIFIC UNIT

Relative Auslander–Reiten sequences for quasi-hereditary algebras

Volume 91 / 2002

Karin Erdmann, José Antonio de la Peña, Corina Sáenz Colloquium Mathematicum 91 (2002), 123-142 MSC: 16G70, 18G25, 20G05, 17B10. DOI: 10.4064/cm91-1-9

Abstract

Let $A$ be a finite-dimensional algebra which is quasi-hereditary with respect to the poset $({\mit \Lambda }, \leq )$, with standard modules $\Delta (\lambda )$ for $\lambda \in {\mit\Lambda }$. Let ${\cal F}(\Delta )$ 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 ${\cal F}(\Delta )$.

Authors

  • Karin ErdmannMathematical Institute
    24-29 St. Giles
    Oxford OX1 3LB, UK
    e-mail
  • José Antonio de la PeñaInstituto de Matemáticas
    Circuito Exterior
    Ciudad Universitaria
    04510 México D.F., Mexico
    e-mail
  • Corina SáenzFacultad de Matemáticas
    Apdo. Postal 402
    Guanajuato GTO 36000, Mexico
    e-mail

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