Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
M. Shapiro
Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor
We complete the classification of mutation-finite cluster algebras by extending the technique derived by Fomin, Shapiro, and Thurston to skew-symmetrizable case. We show that for every mutation-finite skew-symmetrizable matrix a diagram characterizing the matrix admits an unfolding which embeds its mutation class to the mutation class of some mutation-finite skew-symmetric matrix. In particular, this establishes a correspondence between a large class of skew-symmetrizable mutation-finite cluster algebras and triangulated marked bordered surfaces.
Journal Article Type | Article |
---|---|
Publication Date | Jan 1, 2012 |
Deposit Date | Mar 19, 2012 |
Publicly Available Date | Feb 3, 2016 |
Journal | International Mathematics Research Notices |
Print ISSN | 1073-7928 |
Electronic ISSN | 1687-0247 |
Publisher | Oxford University Press |
Peer Reviewed | Peer Reviewed |
Volume | 2012 |
Issue | 8 |
Pages | 1768-1804 |
DOI | https://doi.org/10.1093/imrn/rnr072 |
Public URL | https://durham-repository.worktribe.com/output/1502128 |
Accepted Journal Article
(345 Kb)
PDF
Copyright Statement
This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Felikson, A., Shapiro, M. and Tumarkin, P. (2012) 'Cluster algebras of finite mutation type via unfoldings.', International mathematics research notices., 2012 (8): 1768-1804 is available online at: http://dx.doi.org/10.1093/imrn/rnr072
Hyperbolic subalgebras of hyperbolic Kac-Moody algebras
(2012)
Journal Article
Reflection subgroups of Coxeter groups
(2010)
Journal Article
Exhange graphs for mutation-finite non-integer quivers
(2023)
Journal Article
Cluster algebras of finite mutation type with coefficients
(2023)
Journal Article
Friezes for a pair of pants
(2022)
Journal Article
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
Apache License Version 2.0 (http://www.apache.org/licenses/)
Apache License Version 2.0 (http://www.apache.org/licenses/)
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search