arXiv:1112.6188 Abstract | arXiv Analytics

arXiv:1112.6188 [math.RT]Abstract References Reviews Resources

Loop realizations of quantum affine algebras

Published 2011-12-28, updated 2012-10-27Version 2

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.

Comments: 19 pages

DOI: 10.1063/1.4765051

Categories: math.RT, math.QA

Subjects: 20G42, 81R50, 03.65.Fd, 02.10.-v

Keywords: quantum affine algebra, loop realizations, vertex operators, idempotent version, loop presentation

Tags: journal article

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