The quasihereditary structure of the Auslander-Dlab-Ringel algebra

Abstract

Given an arbitrary algebra $A$ we may associate to it a special endomorphism algebra, $R_A$, introduced by Auslander. Dlab and Ringel constructed a heredity chain for $R_A$, proving that every algebra $A$ has an associated highest weight theory. In this paper we investigate the quasihereditary structure of $R_A$ using an axiomatic approach.

17 pages. A mistake was corrected, and the exposition changed substantially after referee report. The results are unchanged. Accepted for publication in the Journal of Algebra

Cited by in corpus (8)

• The Ringel dual of the Auslander-Dlab-Ringel algebra
• Strongly quasi-hereditary algebras and rejective subcategories
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• On quiver Grassmannians and orbit closures for gen-finite modules
• Ringel duality for certain strongly quasi-hereditary algebras
• On strongly quasi-hereditary algebras
• On an upper bound for the global dimension of Auslander--Dlab--Ringel algebras
• Gabriel-Roiter measure, representation dimension and rejective chains