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arXiv · 2303.05326

Semilinear clannish algebras arising from surfaces with orbifold points

Raphael Bennett-Tennenhaus·Daniel Labardini-Fragoso
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Abstract

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.

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Raphael Bennett-Tennenhaus, Daniel Labardini-Fragoso. 2023-03-09. Semilinear clannish algebras arising from surfaces with orbifold points. https://arxiv.org/abs/2303.05326

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