Mutation classes of finite type cluster algebras with principal coefficients

Details Mutation classes of finite type cluster algebras with principal coefficients Mutation classes of finite type cluster algebras with principal coefficients

2011-06-29

arxiv.org/abs/1106.5895v1

Mathematics

Combinatorics

13 pages, 2 figures

Scientific paper

In this paper, we prove Conjecture 4.8 of "Cluster algebras IV" by S. Fomin
and A. Zelevinsky, stating that the mutation classes of rectangular matrices
associated with cluster algebras of finite type are precisely those classes
which are finite.

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