Geodesic
A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules
Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 1113-1159.

Voir la notice de l'article provenant de la source EMS Press

We describe a cluster algebra algorithm for calculating q-characters of Kirillov–Reshetikhin modules for any untwisted quantum affine algebra Uq​(g​). This yields a geometric q-character formula for tensor products of Kirillov–Reshetikhin modules. When g is of type A,D,E, this formula extends Nakajima's formula for q-characters of standard modules in terms of homology of graded quiver varieties.
DOI : 10.4171/jems/609
Classification : 17-XX, 13-XX
Keywords: Quantum affine algebra, cluster algebras, q-characters, Kirillov–Reshetikhin modules, geometric character formula 
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     title = {A cluster algebra approach to $q$-characters of {Kirillov{\textendash}Reshetikhin} modules},
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David Hernandez; Bernard Leclerc. A cluster algebra approach to $q$-characters of Kirillov–Reshetikhin modules. Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 1113-1159. doi : 10.4171/jems/609. http://geodesic.mathdoc.fr/articles/10.4171/jems/609/

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