Semilinear clannish algebras arising from surfaces with orbifold points
Rings and Algebras
2025-04-08 v2 Representation Theory
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.
Keywords
Cite
@article{arxiv.2303.05326,
title = {Semilinear clannish algebras arising from surfaces with orbifold points},
author = {Raphael Bennett-Tennenhaus and Daniel Labardini-Fragoso},
journal= {arXiv preprint arXiv:2303.05326},
year = {2025}
}
Comments
v2: 6 figures, many tables with explicit computations, several editorial changes; 50 pages. v1: 5 figures, several tables with explicit computations; 45 pages