Branching functions of $A_{n-1}^{(1)}$ and Jantzen-Seitz problem for Ariki-Koike algebras

O. Foda, B. Leclerc, M. Okado +2

We study the restrictions of simple modules of Ariki-Koike algebras $\H_m(\v)$ with set of parameters $\check{=}(\zeta ;{\zeta }^{v_0},...,{\zeta }^{v_{l-1}})$, where $\zeta$ is an $n$th root of unity, to th…