Tubular cluster algebras II: Exponential growth
Copyright policy )Tubular cluster algebras II: Exponential growth
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.
20 pages, v2: two typos on p. 13 fixed, v3: references to the related work by Felikson, Shapiro, Thomas and Tumarkin updated and extended. Final version, to appear in J. Pure Appl. Algebra
13F60, 16E35, Cluster algebras, FOS: Mathematics, Derived categories and associative algebras, Representations of quivers and partially ordered sets, Representation Theory (math.RT), Mathematics - Representation Theory, Derived categories, triangulated categories
13F60, 16E35, Cluster algebras, FOS: Mathematics, Derived categories and associative algebras, Representations of quivers and partially ordered sets, Representation Theory (math.RT), Mathematics - Representation Theory, Derived categories, triangulated categories
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!