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Denominator vectors and dimension vectors from triangulated surfaces.
- Source :
-
Journal of Algebra . Mar2024, Vol. 641, p620-647. 28p. - Publication Year :
- 2024
-
Abstract
- In a categorification of skew-symmetric cluster algebras, each cluster variable corresponds with an indecomposable module over the associated Jacobian algebra. Buan, Marsh and Reiten studied when the denominator vector of each cluster variable in an acyclic cluster algebra coincides with the dimension vector of the corresponding module. In this paper, we give analogues of their results for cluster algebras from triangulated surfaces by comparing two kinds of intersection numbers of tagged arcs. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CLUSTER algebras
*INDECOMPOSABLE modules
*INTERSECTION numbers
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 641
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 174508325
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.12.002