Geodesic
Braid Group Action on Affine Yangian
Symmetry, integrability and geometry: methods and applications, Tome 15 (2019) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\hat{\mathfrak{gl}}_N$.
Keywords: affine Yangian; braid group action; evaluation map. 
@article{SIGMA_2019_15_a19,
     author = {Ryosuke Kodera},
     title = {Braid {Group} {Action} on {Affine} {Yangian}},
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     year = {2019},
     volume = {15},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a19/}
}
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Ryosuke Kodera. Braid Group Action on Affine Yangian. Symmetry, integrability and geometry: methods and applications, Tome 15 (2019). http://geodesic.mathdoc.fr/item/SIGMA_2019_15_a19/

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