This paper reveals a Morita equivalence in semilinear clannish algebras related to triangulations, suggesting connections to Jacobian algebras.
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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Bennett‐Tennenhaus et al. (2025) studied this question.
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