Braid Group Action on Affine Yangian

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 ${\widehat{\mathfrak{gl}}}_N$.

References in corpus (2)

• Coproduct for the Yangian of an affine Kac-Moody algebra
• On Guay's evaluation map for affine Yangians

Cited by in corpus (6)

• Affine Super Yangians and Rectangular $W$-superalgebras
• On Guay's evaluation map for affine Yangians
• Coproduct for affine Yangians and parabolic induction for rectangular $W$-algebras
• Braid group actions, Baxter polynomials, and affine quantum groups
• The Surjectivity of the Evaluation Map of the Affine Super Yangian
• Weyl Mutations in Quiver Yangians