Presenting generalized q-Schur algebras
量子代数
2007-05-23 v1
摘要
We obtain a presentation by generators and relations for generalized Schur algebras and their quantizations. This extends earlier results obtained in the type A case. The presentation is compatible with Lusztig's modified form of a quantized enveloping algebra. We show that generalized Schur algebras inherit a canonical basis from the modified form of the quantized enveloping algebra, that this gives them a cellular structure, and thus they are quasihereditary over a field.
引用
@article{arxiv.math/0305208,
title = {Presenting generalized q-Schur algebras},
author = {Stephen Doty},
journal= {arXiv preprint arXiv:math/0305208},
year = {2007}
}
备注
To appear in Representation Theory