The quasihereditary structure of the Auslander-Dlab-Ringel algebra

Teresa Conde

doi:10.1016/j.jalgebra.2016.03.045

The quasihereditary structure of the Auslander-Dlab-Ringel algebra

Representation Theory 2020-05-11 v2

Authors: Teresa Conde

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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.

Keywords

Auslander-Dlab-Ringel algebra quasihereditary structure endomorphism algebra heredity chain highest weight theory axiomatic approach

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@article{arxiv.1506.07923,
  title  = {The quasihereditary structure of the Auslander-Dlab-Ringel algebra},
  author = {Teresa Conde},
  journal= {arXiv preprint arXiv:1506.07923},
  year   = {2020}
}

Comments

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

The quasihereditary structure of the Auslander-Dlab-Ringel algebra

Abstract

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