Tubular cluster algebras II: Exponential growth
- Autores: Michael Barot, Christof Geiss, Gustavo Jasso
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 10, 2013, págs. 1825-1837
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2012.12.012
- Enlaces
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Resumen
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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