By Shane Chern and others

In 2000, Ariki and Mathas showed that the simple modules of the Ariki--Koike algebras *\mathcal{H}_{\mathbb{C},q;Q_1,\ldots, Q_m}\big(G(m, 1, n)\big)* (when the parameters are roots of unity and *q\neq 1*) are labeled by the so-called Kleshchev multipartitions. This together with Ariki's categorification theorem enabled Ariki and Mathas to obtain the generating function... Show more

September 16, 2022

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

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