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Vertex Representations for Yangians of Kac-Moody algebras

Published 11 Apr 2018 in math.RT and math.QA | (1804.04081v2)

Abstract: Using vertex operators, we build representations of the Yangian of a simply laced Kac-Moody algebra and of its double. As a corollary, we prove the PBW property for simply laced affine Yangians.

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