Presenting cyclotomic q-Schur algebras

Kentaro Wada

doi:10.1215/00277630-2010-017

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Home > Journals > Nagoya Math. J. > Volume 201 > Article

March 2011 Presenting cyclotomic

q

-Schur algebras

Kentaro Wada

Nagoya Math. J. 201: 45-116 (March 2011). DOI: 10.1215/00277630-2010-017

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Abstract

We give a presentation of cyclotomic $q$ -Schur algebras by generators and defining relations. As an application, we give an algorithm for computing decomposition numbers of cyclotomic $q$ -Schur algebras.