Infnite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator

N. V. Tsilevich, A. Vershik

We extend the classical Schur-Weyl duality between representations of the groups $SL(n,\C)$ and $\sN$ to the case of $SL(n,\C)$ and the infinite symmetric group $\sinf$. Our constr…