Gaudin Algebras, RSK and Calogero-Moser Cells in Type A

Adrien Brochier, Iain Gordon, Noah White

We study the spectrum of a family of algebras, the inhomogeneous Gaudin algebras, acting on the $n$-fold tensor representation $\mathbb{C}[x_1,\dots ,x_r{]}^{\otimes n}$ of the Lie…