Braid Group Action on Affine Yangian
Representation Theory
2019-03-19 v3 Quantum Algebra
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 .
Cite
@article{arxiv.1805.01621,
title = {Braid Group Action on Affine Yangian},
author = {Ryosuke Kodera},
journal= {arXiv preprint arXiv:1805.01621},
year = {2019}
}