The (Q,q)-Schur algebra

Abstract

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

Submitted for publications December 1996. LaTeX2e file, 41 pages. Also obtainable from: http://www.ma.ic.ac.uk/~apmath http://abel.mathematik.uni-stuttgart.de/mathB/Alg_Top/rdipper.html