Relative Auslander-Reiten sequences for quasi-hereditary algebras
Karin Erdmann; José Antonio de la Peña; Corina Sáenz
Colloquium Mathematicae (2002)
- Volume: 91, Issue: 1, page 123-142
- ISSN: 0010-1354
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topKarin Erdmann, José Antonio de la Peña, and Corina Sáenz. "Relative Auslander-Reiten sequences for quasi-hereditary algebras." Colloquium Mathematicae 91.1 (2002): 123-142. <http://eudml.org/doc/283547>.
@article{KarinErdmann2002,
abstract = {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).},
author = {Karin Erdmann, José Antonio de la Peña, Corina Sáenz},
journal = {Colloquium Mathematicae},
keywords = {categories of modules; Auslander-Reiten quivers},
language = {eng},
number = {1},
pages = {123-142},
title = {Relative Auslander-Reiten sequences for quasi-hereditary algebras},
url = {http://eudml.org/doc/283547},
volume = {91},
year = {2002},
}
TY - JOUR
AU - Karin Erdmann
AU - José Antonio de la Peña
AU - Corina Sáenz
TI - Relative Auslander-Reiten sequences for quasi-hereditary algebras
JO - Colloquium Mathematicae
PY - 2002
VL - 91
IS - 1
SP - 123
EP - 142
AB - 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).
LA - eng
KW - categories of modules; Auslander-Reiten quivers
UR - http://eudml.org/doc/283547
ER -
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