Cluster algebras and quantum affine algebras

2009/03/31 by David Hernandez, Bernard Leclerc · 2 citations
Mathematics · #math.QA #math.RA #math.RT

paper · pdf · doi:10.1215/00127094-2010-040

published as Duke Math. J. 154, no. 2 (2010), 265-341 · 55 pages, accepted for publication in Duke Mathematical Journal

arxiv created 2009/11/19 · arxiv updated 2019/12/19

Abstract

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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