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arXiv · 1205.5119

Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective

Nicole Snashall·Rachel Taillefer
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Abstract

We consider a natural generalisation of symmetric Nakayama algebras, namely, symmetric special biserial algebras with at most one non-uniserial indecomposable projective module. We describe the basic algebras explicitly by quiver and relations, then classify them up to derived equivalence and up to stable equivalence of Morita type. This includes the algebras of [Bocian-Holm-Skowroński, J. Pure Appl. Algebra 2004], where they study the weakly symmetric algebras of Euclidean type, as well as some algebras of dihedral type.

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BibTeXRIS

Nicole Snashall, Rachel Taillefer. 2013-10-10. Classification of symmetric special biserial algebras with at most one non-uniserial indecomposable projective. https://arxiv.org/abs/1205.5119

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