Tubular Cluster Algebras II: Exponential growth

Details Tubular Cluster Algebras II: Exponential growth Tubular Cluster Algebras II: Exponential growth

2012-02-22

arxiv.org/abs/1202.4816v1

Mathematics

Representation Theory

20 pages

Scientific paper

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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