no. 4
Semilinear clannish algebras arising from surfaces with orbifold points
Bennett-Tennenhaus, Raphael1; Labardini-Fragoso, Daniel2, 3
1Fakultät für Mathematik Universität Bielefeld Universitätsstraße 25 33615 Bielefeld Germany
2Instituto de Matemáticas Universidad Nacional Autónoma de México Área de la Investigación Científica Circuito exterior Ciudad Universitaria, 04510 Mexico
3Dipartimento 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.

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Accepted:
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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
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
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