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A cluster algebra approach to q-characters of Kirillov-Reshetikhin modules

Published 4 Mar 2013 in math.QA, math.AG, math.CO, and math.RT | (1303.0744v1)

Abstract: We describe a cluster algebra algorithm for calculating q-characters of Kirillov-Reshetikhin modules for any untwisted quantum affine algebra. This yields a geometric q-character formula for tensor products of Kirillov-Reshetikhin modules. In simply laced type this formula extends Nakajima's formula for q-characters of standard modules in terms of homology of graded quiver varieties.

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