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arXiv · 1202.4816

Tubular Cluster Algebras II: Exponential growth

Michael Barot·Christof Geiss·Gustavo Jasso
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Abstract

Among the mutation finite cluster algebras the tubular ones are a particularly interesting class. We show that all tubular (simply laced) cluster algebras are of exponential growth by two different methods: first by studying the automorphism group of the corresponding cluster category and second by giving explicit sequences of mutations.

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Michael Barot, Christof Geiss, Gustavo Jasso. 2012-02-22. Tubular Cluster Algebras II: Exponential growth. https://doi.org/10.1016/j.jpaa.2012.12.012

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