The (Q,q)-Schur algebra

Details The (Q,q)-Schur algebra The (Q,q)-Schur algebra

1997-01-24

arxiv.org/abs/q-alg/9701024v1

Mathematics

Quantum Algebra

Submitted for publications December 1996. LaTeX2e file, 41 pages. Also obtainable from: http://www.ma.ic.ac.uk/~apmath http:

Scientific paper

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.

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