no. 4
Semilinear clannish algebras arising from surfaces with orbifold points
Bennett-Tennenhaus, Raphael1; Labardini-Fragoso, Daniel2, 3
1 Fakultät für Mathematik Universität Bielefeld Universitätsstraße 25 33615 Bielefeld Germany
2 Instituto de Matemáticas Universidad Nacional Autónoma de México Área de la Investigación Científica Circuito exterior Ciudad Universitaria, 04510 Mexico
3 Dipartimento di Matematica “Tullio Levi-Civita” Università degli Studi di Padova Via Trieste 63 35131 Padova Italy
Annals of Representation Theory, Volume 2 (2025) no. 4, pp. 439-504.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/art.32
Classification: 16G20, 16S35, 13F60
Keywords: semilinear clannish algebra, Jacobian algebra, species, surface with marked points and orbifold points, Morita equivalence

Bennett-Tennenhaus, Raphael 1; Labardini-Fragoso, Daniel 2, 3

1 Fakultät für Mathematik Universität Bielefeld Universitätsstraße 25 33615 Bielefeld Germany
2 Instituto de Matemáticas Universidad Nacional Autónoma de México Área de la Investigación Científica Circuito exterior Ciudad Universitaria, 04510 Mexico
3 Dipartimento di Matematica “Tullio Levi-Civita” Università degli Studi di Padova Via Trieste 63 35131 Padova Italy
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Bennett-Tennenhaus, Raphael; Labardini-Fragoso, Daniel. Semilinear clannish algebras arising from surfaces with orbifold points. Annals of Representation Theory, Volume 2 (2025) no. 4, pp. 439-504. doi : 10.5802/art.32. https://art.centre-mersenne.org/articles/10.5802/art.32/

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