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Auslander Algebras as Quasi-Hereditary Algebras

✍ Scribed by Dlab, V.; Ringel, C. M.


Book ID
120095871
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
204 KB
Volume
s2-39
Category
Article
ISSN
0024-6107

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Let \(A\) be a finite-dimensional algebra over an algebraically closed field. If \(A\) is an \(\mathscr{F}(\Delta)\)-finite quasi-hereditary algebra, then the endomorphism algebra of the direct sum of all non-isomorphic indecomposable \(\Delta\)-good modules over \(A\) is quasi-hereditary. Moreover,