학술논문
Relation Between f-Vectors and d-Vectors in Cluster Algebras of Finite Type or Rank 2.
Document Type
Article
Author
Source
Subject
*CLUSTER algebras
*FINITE, The
*EXPONENTS
*
*
Language
ISSN
0218-0006
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]