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 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.
Authors
- Daniel Labardini-Fragoso
- Raphael Bennett‐Tennenhaus (ORCID: https://orcid.org/0000-0003-2946-4223)
Publication Details
- Journal
- Annals of representation theory
- Published
- 2025-09-16
- DOI
- https://doi.org/10.5802/art.32
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Alexander von Humboldt-Stiftung
- Aarhus Universitet
- National Research Foundation
- Danmarks Grundforskningsfond
- Aarhus Universitets Forskningsfond
- Universität zu Köln
- Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México