The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra
Lutz Hille ; Dieter Vossieck
Colloquium Mathematicae, Tome 96 (2003), p. 201-211 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284874 
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     title = {The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra},
     journal = {Colloquium Mathematicae},
     volume = {96},
     year = {2003},
     pages = {201-211},
     zbl = {1081.16022},
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Lutz Hille; Dieter Vossieck. The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra. Colloquium Mathematicae, Tome 96 (2003) pp. 201-211. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm98-2-6/