Andrew Mathas

The (Q,q)-Schur algebra

In this paper we use the Hecke algebra of type

Blocks of cyclotomic Hecke algebras

B

Cyclotomic Nazarov-Wenzl algebras

to define a new algebra

A q‐Analogue of the Jantzen–Schaper Theorem

Sch

The Jantzen sum formula for cyclotomic –Schur algebras

which is an analogue of the q-Schur algebra. We construct Weyl modules for

Seminormal forms and Gram determinants for cellular algebras

Sch

UNIVERSAL GRADED SPECHT MODULES FOR CYCLOTOMIC HECKE ALGEBRAS

and obtain, as factor modules, a family of irreducible

Quiver Schur algebras for linear quivers

Sch

The Irreducible Specht Modules in Characteristic 2

-modules over any field.

The representation type of Hecke algebras of type B

Abstract This paper classifies the blocks of the cyclotomic Hecke algebras of type G ( r , 1 , n ) over an arbitrary field. Rather than working with the Hecke algebras directly we work instead with the cyclotomic Schur algebras. The advantage of these algebras is that the cyclotomic Jantzen sum formula gives an easy combinatorial characterization of the blocks of the cyclotomic Schur algebras. We obtain an explicit description of the blocks by analyzing the combinatorics of ‘Jantzen equivalence.’ We remark that a proof of the classification of the blocks of the cyclotomic Hecke algebras was announced in 1999. Unfortunately, Cox has discovered that this previous proof is incomplete.