Work

Semilinear clannish algebras arising from surfaces with orbifold points

Year: 2025

Type: article

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.

Source: Annals of representation theory

DOI: 10.5802/art.32

Authors: Raphael Bennett-Tennenhaus, Daniel Labardini-Fragoso

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond