M. Fazeel Anwar

  1. A Tensor Product Factorization For Certain Tilting Modules.

    Authors: M. Fazeel Anwar
    Subjects: Representation Theory
    Abstract

    Let G be a semisimple, simply connected linear algebraic group over an
    algebraically closed field k of characteristic p > 0. In a recent paper [4],
    Doty introduces the notion of r-minuscule weight and exhibits a tensor product
    factorization of a corresponding tilting module under the assumption p >= 2h-2,
    where h is the coxeter number. We remove the characteristic restriction and
    generalize to a wider class of weights that we call (p,r)-minuscule.

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