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:||Publisher-imposed embargo until 02 August 2018. |
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|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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