EXCHANGE MAPS OF CLUSTER ALGEBRAS

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International Electronic Journal of Algebra
Volume:16 Issue:16
EXCHANGE MAPS OF CLUSTER ALGEBRAS

EXCHANGE MAPS OF CLUSTER ALGEBRAS

Pages : 1-15

View : 13 | Download : 8

Publication Date : 2014-12-01

Article Type : Research Paper

Abstract :Every two labeled seeds in a field of fractions F together with a permutation give rise to an automorphism of F called an exchange map. We provide equivalent conditions for exchange maps to be cluster isomorphisms of the corresponding cluster algebras. The conditions are given in terms of an action of the quiver automorphisms on the set of seeds.
Keywords : Cluster algebras, cluster automorphisms

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