The (Q,q)-Schur Algebra

Richard Dipper, Gordon James and Andrew Mathas

Keywords

Schur algebras, Hecke algebras of type B 

Status

Submitted for publication.

Abstract

In this paper we use the Hecke algebra of type B to define a new algebra S 
which is an analogue of the q-Schur algebra. We construct Weyl modules for S 
and obtain, as factor modules, a family of irreducible S-modules over any 
field.