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Relation Between f-Vectors and d-Vectors in Cluster Algebras of Finite Type or Rank 2.
- Source :
- Annals of Combinatorics; Sep2021, Vol. 25 Issue 3, p573-594, 22p
- Publication Year :
- 2021
-
Abstract
- We study f-vectors, which are the maximal degree vectors of F-polynomials in cluster algebra theory. For a cluster algebra of finite type, we find that positive f-vectors correspond with d-vectors, which are exponent vectors of denominators of cluster variables. Furthermore, using this correspondence and properties of d-vectors, we prove that cluster variables in a cluster are uniquely determined by their f-vectors when the cluster algebra is of finite type or rank 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- CLUSTER algebras
FINITE, The
EXPONENTS
Subjects
Details
- Language :
- English
- ISSN :
- 02180006
- Volume :
- 25
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Annals of Combinatorics
- Publication Type :
- Academic Journal
- Accession number :
- 151976292
- Full Text :
- https://doi.org/10.1007/s00026-021-00527-6