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arXiv · 1708.05766

The Ringel dual of the Auslander-Dlab-Ringel algebra

Teresa Conde·Karin Erdmann
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Abstract

The ADR algebra $R_A$ of a finite-dimensional algebra $A$ is a quasihereditary algebra. In this paper we study the Ringel dual $\mathcal{R}(R_A)$ of $R_A$. We prove that $\mathcal{R}(R_A)$ can be identified with $(R_{A^{op}})^{op}$, under certain 'minimal' regularity conditions for $A$. We also give necessary and sufficient conditions for the ADR algebra to be Ringel selfdual.

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BibTeXRIS

Teresa Conde, Karin Erdmann. 2017-08-18. The Ringel dual of the Auslander-Dlab-Ringel algebra. https://doi.org/10.1016/j.jalgebra.2018.02.029

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