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On Weyl modules of cyclotomic $q$-Schur algebras (1101.0758v1)
Published 4 Jan 2011 in math.RT, math.CO, and math.QA
Abstract: 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.