On the one dimensional representations of Ariki-Koike algebras at roots of unity

The results of this section, particularly Corollary 3.5, will be used to prove Propo- sition 3.14 in §3.2, where we show the existence of a binary matrix with prescribed row, column

We prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of

In higher levels, we use the notion of core block, as introduced by Fayers, to prove that the set of blocks contains a superlevel set (with infinite cardinality) for the

3.1. These interchanges do not change the row or column sums, however they may change block sums. The results of this section, particularly Corollary 3.4, will be used to

B Y J.J. GRAHAM AND G.I. – We prove that the cell modules of the affine Temperley–Lieb algebra have the same composition factors, when regarded as modules for the affine Hecke

In Sections 2 and 3, we briefly review the required material on Coxeter groups, Hecke algebras, and Hecke group algebras, as well as on the central theme of this article: the level

In this section, we briefly summarize the results of Ariki which give an interpretation of the decomposition matrix in terms of the canonical basis of a certain U q (c sl e

We show that this notion gives the right generalization of the e-core partitions: they correspond to the elements with weight 0 (with respect to Fayers definition of weight), and