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arxiv: 1805.01621 · v3 · pith:ZZU5ZBMQnew · submitted 2018-05-04 · 🧮 math.RT · math.QA

Braid Group Action on Affine Yangian

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keywords actionaffinebraidgroupyangianactionsalgebraalgebras
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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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