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This article is cited in 84 scientific papers (total in 84 papers)
Positivity and canonical bases in rank 2 cluster algebras of finite and affine types
P. Sherman, A. V. Zelevinskii Northeastern University
Abstract:
The main motivation for the study of cluster algebras initiated in [6], [3], [1] was to design an algebraic framework for understanding total positivity and canonical bases in semisimple algebraic groups. In this paper, we introduce and explicitly construct the canonical basis for a special family of cluster algebras of rank 2.
Key words and phrases:
Cluster algebras, affine root systems, Newton polygons.
Received: July 9, 2003; in revised form December 14, 2003
Citation:
P. Sherman, A. V. Zelevinskii, “Positivity and canonical bases in rank 2 cluster algebras of finite and affine types”, Mosc. Math. J., 4:4 (2004), 947–974
Linking options:
https://www.mathnet.ru/eng/mmj178 https://www.mathnet.ru/eng/mmj/v4/i4/p947
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