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arXiv · 2204.12138

Semilinear clannish algebras

Raphael Bennett-Tennenhaus·William Crawley-Boevey
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Abstract

We define a class of associative algebras generalizing 'clannish algebras', as introduced by the second author, but also incorporating semilinear structure, like a skew polynomial ring. Clannish algebras generalize the well known 'string algebras' introduced by Butler and Ringel. Our main result is the classification of finite-dimensional indecomposable modules for these new algebras.

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Raphael Bennett-Tennenhaus, William Crawley-Boevey. 2022-04-26. Semilinear clannish algebras. https://arxiv.org/abs/2204.12138

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