On Weyl modules of cyclotomic $q$-Schur algebras

Details On Weyl modules of cyclotomic $q$-Schur algebras On Weyl modules of cyclotomic $q$-Schur algebras

2011-01-04

arxiv.org/abs/1101.0758v1

Mathematics

Representation Theory

28 pages

Scientific paper

We study on Weyl modules of cyclotomic $q$-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 $q$-Schur algebras.

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