Representations of quantum toroidal superalgebras and plane $\mathbf{s}$-partitions

Luan Bezerra, Evgeny Mukhin

We construct Fock and MacMahon modules for the quantum toroidal superalgebra ${\mathcal{E}}_{\mathbf{s}}$ associated with the Lie superalgebra ${\mathfrak{gl}}_{m|n}$ and parity $\mathbf…