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Bases for cluster algebras from orbifolds.

Felikson, A. and Tumarkin, P. (2017) 'Bases for cluster algebras from orbifolds.', Advances in mathematics., 318 . pp. 191-232.

Abstract

We generalize the construction of the bracelet and bangle bases defined in [36] and the band basis defined in [43] to cluster algebras arising from orbifolds. We prove that the bracelet bases are positive, and the bracelet basis for the affine cluster algebra of type Cn(1) is atomic. We also show that cluster monomial bases of all skew-symmetrizable cluster algebras of finite type are atomic.

Item Type:Article
Full text:Publisher-imposed embargo until 02 August 2018.
(AM) Accepted Manuscript
First Live Deposit - 26 July 2017
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
File format - PDF
(485Kb)
Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1016/j.aim.2017.07.025
Publisher statement:© 2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Record Created:26 Jul 2017 14:43
Last Modified:20 Sep 2017 11:36

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