Kentaro Wada

  1. Blocks of category $\mathcal{O}$ for rational Cherednik algebras and of cyclotomic Hecke algebras of type G(r,p,n).

    Authors: Kentaro Wada
    Subjects: Representation Theory
    Abstract

    We classify blocks of category $\mathcal{O}$ for rational Cherednik algebras
    and of cyclotomic Hecke algebras of type G(r,p,n) by using the "residue
    equivalence" for multi-partitions.

  2. Presenting cyclotomic q-Schur algebras.

    Authors: Kentaro Wada
    Subjects: Representation Theory
    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.

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