On the computation of the canonical basis for irreducible highest weight $U_q({\mathfrak{gl}}_{\infty })$-module

Nicolas Jacon, Abel Lacabanne

We study canonical basis elements in higher-level Fock spaces associated with the quantum group $U_q({\mathfrak{gl}}_{\infty })$, which are conjecturally related to Calogero-Moser theor…