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arXiv · 2602.14171

On representations of algebras with radical square zero

Yuriy A. Drozd
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Abstract

We consider a new correspondence between representations of algebras with radical square zero and representations of species. We show that the stable category of representations of such algebra embeds into the representation category of the corresponding species and show how one reconstruct the Auslander-Reiten quiver of the algebra from the Auslander-Reiten quiver of the species.

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Yuriy A. Drozd. 2026-02-15. On representations of algebras with radical square zero. https://arxiv.org/abs/2602.14171

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