Semilinear clannish algebras arising from surfaces with orbifold points

Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, we associate semilinear clannish algebras to the (colored) triangulations of a surface with marked points and orbifo...

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Bibliographic Details
Published in:arXiv.org 2023-03
Main Authors: Bennett-Tennenhaus, Raphael, Labardini-Fragoso, Daniel
Format: Article
Language:English
Subjects:
Algebra
Online Access:Get full text
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Summary:Semilinear clannish algebras have been recently introduced by the first author and Crawley-Boevey as a generalization of Crawley-Boevey's clannish algebras. In the present paper, we associate semilinear clannish algebras to the (colored) triangulations of a surface with marked points and orbifold points, and exhibit a Morita equivalence between these algebras and the Jacobian algebras constructed a few years ago by Geuenich and the second author.
ISSN:2331-8422