Braid Group Action on Affine Yangian

Published 4 May 2018 in math.RT and math.QA | (1805.01621v3)

Abstract: We study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg algebra inside $\hat{\mathfrak{gl}}_N$.

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Ryosuke Kodera

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