Semilinear clannish algebras

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...

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Bibliographic Details
Published in:Proceedings of the London Mathematical Society 2024-10, Vol.129 (4), p.n/a
Main Authors: Bennett‐Tennenhaus, Raphael, Crawley‐Boevey, William
Format: Article
Language:English
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Summary: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.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms.12637