Tubular cluster algebras II: Exponential growth

M. Barot; Ch. Geiss; G. Jasso

doi:10.1016/j.jpaa.2012.12.012

Tubular cluster algebras II: Exponential growth

M. Barot, Ch. Geiss, G. Jasso

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	1825-1837
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2012.12.012
Publication status	Published - 2013 Oct
Externally published	Yes

Subject classification (UKÄ)

Algebra and Logic

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10.1016/j.jpaa.2012.12.012

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title = "Tubular cluster algebras II: Exponential growth",

abstract = "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.",

author = "M. Barot and Ch. Geiss and G. Jasso",

year = "2013",

month = oct,

doi = "10.1016/j.jpaa.2012.12.012",

language = "English",

volume = "217",

pages = "1825--1837",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

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T1 - Tubular cluster algebras II: Exponential growth

AU - Barot, M.

AU - Geiss, Ch.

AU - Jasso, G.

PY - 2013/10

Y1 - 2013/10

N2 - 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.

AB - 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.

U2 - 10.1016/j.jpaa.2012.12.012

DO - 10.1016/j.jpaa.2012.12.012

M3 - Article

SN - 0022-4049

VL - 217

SP - 1825

EP - 1837

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 10

ER -

Tubular cluster algebras II: Exponential growth

Abstract

Subject classification (UKÄ)

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