3 citations · 4 across the 4 of their papers we have counts for
8 papers
Cyclotomic Nazarov-Wenzl algebras
Susumu Ariki, Andrew Mathas, Hebing Rui
Nazarov \cite{Nazarov:brauer} introduced an infinite dimensional algebra, which he called the \textit{affine Wenzl algebra}, in his study of the Brauer algebras. In this paper we s…
Symmetric group blocks of small defect
Gordon James, Andrew Mathas
This paper is an attempt to compute the decomposition numbers of the blocks of the symmetric group which have "small defect"; that is, blocks of weight smaller than the characteris…
Elementary divisors of Specht modules
Matthias Künzer, Andrew Mathas
Let H_q(S_n) be the Iwahori-Hecke algebra of the symmetric group. This algebra is semisimple over the rational function field Q(q), where q is an indeterminate, and its irreducible…
Tilting modules for cyclotomic Schur algebras
Andrew Mathas
This paper investigates the tilting modules of the cyclotomic q-Schur algebras, the Young modules of the Ariki-Koike algebras, and the interconnections between them. The main tools…
The representation theory of the Ariki-Koike and cyclotomic q-Schur algebras
Andrew Mathas
This article is a comprehensive review of the representation theory of the Ariki-Koike algebras and the cyclotomic Schur algebras.
Matrix units and generic degrees for the Ariki--Koike algebras
Andrew Mathas
We compute the generic degrees of the Ariki--Koike algebras by first constructing a basis of matrix units in the semisimple case. As a consequence, we also obtain an explicit isomo…