Mutation-classes of diagrams via infinite graphs

Mathematics – Representation Theory

Scientific paper

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31 pages; to appear in Math. Nachr

Scientific paper

We give a complete description of the cluster-mutation classes of diagrams of
Dynkin types \mathbb{A},\mathbb{B},\mathbb{D} and of affine Dynkin types
\mathbb{B}^{(1)},\mathbb{C}^{(1)},\mathbb{D}^{(1)} via certain families of
diagrams.

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