Cluster algebras and quantum affine algebras

Details Cluster algebras and quantum affine algebras Cluster algebras and quantum affine algebras

2009-03-08

arxiv.org/abs/0903.1452v3

Duke Math. J. 154 (2010), no. 2, 265--341

Mathematics

Quantum Algebra

55 pages, accepted for publication in Duke Mathematical Journal

Scientific paper

Let C be the category of finite-dimensional representations of a quantum
affine algebra of simply-laced type. We introduce certain monoidal
subcategories C_l (l integer) of C and we study their Grothendieck rings using
cluster algebras.

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