Positivity and Canonical Bases in Rank 2 Cluster Algebras of Finite and Affine Types
نویسندگان
چکیده
The main motivation for the study of cluster algebras initiated in [4, 6, 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. ju-bi-lee 1 : a year of emancipation and restoration provided by ancient Hebrew law to be kept every 50 years by the emancipation of Hebrew slaves, restoration of alienated lands to their former owners, and omission of all cultivation of the land 2 a : a special anniversary; especially : a 50th anniversary b : a celebration of such an anniversary Merriam-Webster Dictionary
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