On Weyl modules of cyclotomic qq-Schur algebras

preprint2011arXivOpen access

Abstract

We study on Weyl modules of cyclotomic qq-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 qq-Schur algebras.

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