管状簇代数II:指数增长性
Tubular Cluster Algebras II: Exponential growth
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。