Presenting affine q-Schur algebras
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of the quantized enveloping algebra of type affine gl_n. Our results extend and rely on the corresponding result for the q-Schur algebra of the symmetric group, which were proved by the first author and Giaquinto.
Cite
@article{arxiv.math/0603002,
title = {Presenting affine q-Schur algebras},
author = {S. R. Doty and R. M. Green},
journal= {arXiv preprint arXiv:math/0603002},
year = {2007}
}