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arXiv 1202.4816math.RT
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管状簇代数II:指数增长性

Tubular Cluster Algebras II: Exponential growth

Michael Barot, Christof Geiss, Gustavo Jasso

摘要:

在突变有限簇代数中,管状的是一个特别有趣的类。通过两种不同的方法证明了所有的管状(单缀)簇代数都是指数增长性:首先通过研究相应簇范畴的自同构群,其次通过给出明确的突变序列。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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