Abstract: Let $A_{n}(S)$ be a coefficient free cluster algebra over a field $K$. A cluster automorphism is an element of $Aut._{K}K(t_{1}, t_{2},..., t_{n})$ which leaves the set of all cluster variables, $\xi_{S}$, invariant. The group of all such automorphisms is studied in terms of the orbits of the symmetric group action on the set of all seeds S and the cluster pattern.
Publication Year: 2010
Publication Date: 2010-11-03
Language: en
Type: preprint
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Cited By Count: 1
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