On Auslander-Reiten translates in functorially finite subcategories and applications

• Autorzy: K. Erdmann , D. Madsen , V. Miemietz
• Języki publikacji: EN

Abstrakty

EN

We consider functorially finite subcategories in module categories over Artin algebras. One main result provides a method, in the setup of bounded derived categories, to compute approximations and the end terms of relative Auslander-Reiten sequences. We also prove an Auslander-Reiten formula for the setting of functorially finite subcategories. Furthermore, we study the category of modules filtered by standard modules for certain quasi-hereditary algebras and we classify precisely when this category has finite type. The class of these algebras contains all blocks of Schur algebras S(2,r).

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: 2010
• Tom: 119
• Numer: 1
• Strony: 51-77

Daty

wydano

2010

Twórcy

autor

K. Erdmann

• Mathematical Institute, University of Oxford, 24-29 St Giles', OX1 3LB, Oxford, UK

autor

D. Madsen

• Mathematics Department, 215 Carnegie, Syracuse University, Syracuse, NY 13244, U.S.A.

autor

V. Miemietz

• Mathematical Institute, University of Oxford, 24-29 St Giles', OX1 3LB, Oxford, UK

Identyfikatory

DOI

10.4064/cm119-1-3