Publications (36)
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…
Seminormal forms and cyclotomic quiver Hecke algebras of type
Jun Hu, Andrew Mathas
This paper shows that the cyclotomic quiver Hecke algebras of type , and the gradings on these algebras, are intimately related to the classical seminormal forms. We start by cl…
Cyclotomic quiver Hecke algebras of type A
Andrew Mathas
This chapter is based on a series of lectures that I gave at the National University of Singapore in April 2013. The notes survey the representation theory of the cyclotomic Hecke…
Equating decomposition numbers for different primes
Gordon James, Andrew Mathas
This paper shows that certain decomposition numbers for the Hecke algebras and q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results w…
Morita equivalences of cyclotomic Hecke algebras of type G(r,p,n)
Jun Hu, Andrew Mathas
We prove a Morita reduction theorem for the cyclotomic Hecke algebras H_{r,p,n}({q,Q})$ of type G(r,p,n). As a consequence, we show that computing the decomposition numbers of H_{r…
Canonical bases and the decomposition matrices of Ariki--Koike algebras
Andrew Mathas
This paper has been withdrawn because of a gap in the proof of Lemma 3.10. The main reults in this paper have now been proved, and extended in the following papers: S. Ariki and A.…