Tubular cluster algebras II: Exponential growth
(2013) In Journal of Pure and Applied Algebra 217(10). p.1825-1837- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/9f13d783-1055-4e16-848c-81a1ef831639
- author
- Barot, M. ; Geiss, Ch. and Jasso, G. LU
- publishing date
- 2013-10
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Pure and Applied Algebra
- volume
- 217
- issue
- 10
- pages
- 13 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:84879884989
- ISSN
- 0022-4049
- DOI
- 10.1016/j.jpaa.2012.12.012
- language
- English
- LU publication?
- no
- id
- 9f13d783-1055-4e16-848c-81a1ef831639
- date added to LUP
- 2022-03-09 15:21:38
- date last changed
- 2023-01-02 12:58:21
@article{9f13d783-1055-4e16-848c-81a1ef831639,
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 = {{Barot, M. and Geiss, Ch. and Jasso, G.}},
issn = {{0022-4049}},
language = {{eng}},
number = {{10}},
pages = {{1825--1837}},
publisher = {{Elsevier}},
series = {{Journal of Pure and Applied Algebra}},
title = {{Tubular cluster algebras II: Exponential growth}},
url = {{http://dx.doi.org/10.1016/j.jpaa.2012.12.012}},
doi = {{10.1016/j.jpaa.2012.12.012}},
volume = {{217}},
year = {{2013}},
}