Felikson, A. and Tumarkin, P. (2017) 'Bases for cluster algebras from orbifolds.', Advances in mathematics., 318 . pp. 191-232.
We generalize the construction of the bracelet and bangle bases defined in  and the band basis defined in  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.
|Full text:||(AM) Accepted Manuscript|
Available under License - Creative Commons Attribution Non-commercial No Derivatives.
Download PDF (485Kb)
|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/|
|Date accepted:||26 July 2017|
|Date deposited:||26 July 2017|
|Date of first online publication:||02 August 2017|
|Date first made open access:||02 August 2018|
Save or Share this output
|Look up in GoogleScholar|