On Weyl modules of cyclotomic $q$-Schur algebras
Representation Theory
2011-01-05 v1 Combinatorics
Quantum Algebra
Abstract
We study on Weyl modules of cyclotomic -Schur algebras. In particular, we give the character formula of the Weyl modules by using the Kostka numbers and some numbers which are computed by a generalization of Littlewood-Richardson rule. We also study corresponding symmetric functions. Finally, we give some simple applications to modular representations of cyclotomic -Schur algebras.
Keywords
Cite
@article{arxiv.1101.0758,
title = {On Weyl modules of cyclotomic $q$-Schur algebras},
author = {Kentaro Wada},
journal= {arXiv preprint arXiv:1101.0758},
year = {2011}
}
Comments
28 pages