The Ariki--Koike algebras and Rogers--Ramanujan type partitions

Shane Chern, Zhitai Li, Dennis Stanton +2

In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras ${\mathcal{H}}_{\mathbb{C},q;Q_1,\dots ,Q_m}(G(m,1,n))$ (when the parameters are root…