The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra

Lutz Hille, and Dieter Vossieck. "The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra." Colloquium Mathematicae 98.2 (2003): 201-211. <http://eudml.org/doc/284874>.

@article{LutzHille2003,
abstract = {Let Γ be a finite-dimensional hereditary basic algebra. We consider the radical rad Γ as a Γ-bimodule. It is known that there exists a quasi-hereditary algebra 𝓐 such that the category of matrices over rad Γ is equivalent to the category of Δ-filtered 𝓐-modules ℱ(𝓐,Δ). In this note we determine the quasi-hereditary algebra 𝓐 and prove certain properties of its module category.},
author = {Lutz Hille, Dieter Vossieck},
journal = {Colloquium Mathematicae},
keywords = {bimodule matrix problems; path algebras; quasi-hereditary algebras; Koszul algebras; projective dimension; categories of matrices},
language = {eng},
number = {2},
pages = {201-211},
title = {The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra},
url = {http://eudml.org/doc/284874},
volume = {98},
year = {2003},
}

TY - JOUR
AU - Lutz Hille
AU - Dieter Vossieck
TI - The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra
JO - Colloquium Mathematicae
PY - 2003
VL - 98
IS - 2
SP - 201
EP - 211
AB - Let Γ be a finite-dimensional hereditary basic algebra. We consider the radical rad Γ as a Γ-bimodule. It is known that there exists a quasi-hereditary algebra 𝓐 such that the category of matrices over rad Γ is equivalent to the category of Δ-filtered 𝓐-modules ℱ(𝓐,Δ). In this note we determine the quasi-hereditary algebra 𝓐 and prove certain properties of its module category.
LA - eng
KW - bimodule matrix problems; path algebras; quasi-hereditary algebras; Koszul algebras; projective dimension; categories of matrices
UR - http://eudml.org/doc/284874
ER -