Braid Group Action on Affine Yangian

Symmetry Integrability and Geometry-Methods and Applications

article

Ryosuke Kodera¹ 

[1] Department of Mathematics, Graduate School of Science, Kobe University

关键词: Linear representations of groupoids;    restriction;    inductions and co-induction functors;    groupoids-bisets;    translation groupoids;    Frobenius extensions;    Frobenius reciprocity formula;   

DOI  :  10.3842/SIGMA.2019.020

来源: National Academy of Science of Ukraine

【 摘 要 】

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

【 授权许可】

Unknown