Loop realizations of quantum affine algebras

Published 28 Dec 2011 in math.RT and math.QA | (1112.6188v2)

Abstract: We give a simplified description of quantum affine algebras in their loop presentation. This description is related to Drinfeld's new realization via halves of vertex operators. We also define an idempotent version of the quantum affine algebra which is suitable for categorification.

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