The (Q,q)-Schur algebra

Richard Dipper; Gordon James; Andrew Mathas

The (Q,q)-Schur algebra

q-alg 2008-02-03 v1 Quantum Algebra

Authors: Richard Dipper , Gordon James , Andrew Mathas

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.

Keywords

hecke algebra weyl groups and algebras irreducible modules for lie algebras

Cite

@article{arxiv.q-alg/9701024,
  title  = {The (Q,q)-Schur algebra},
  author = {Richard Dipper and Gordon James and Andrew Mathas},
  journal= {arXiv preprint arXiv:q-alg/9701024},
  year   = {2008}
}

Comments

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

The (Q,q)-Schur algebra

Abstract

Keywords

Cite

Comments

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