Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895906 | Journal of Algebra | 2018 | 10 Pages |
Abstract
For cluster algebras from surfaces, there is a known formula for cluster variables and F-polynomials in terms of the perfect matchings of snake graphs. If the cluster algebra has trivial coefficients, there is also a known formula for cluster variables in terms of continued fractions. In this paper, we extend this result to cluster algebras with principal coefficients by producing a formula for the F-polynomials in terms of continued fractions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michelle Rabideau,