R. Leabovich

  1. Crossover Morita equivalences of spin representations of the symmetric and alternating groups.

    Authors: R. Leabovich, M. Schaps
    Subjects: Representation Theory
    Abstract

    We prove the existence of Morita equivalences between the spin blocks at the
    extremal points of strings in the block-reduced crystal graph. When the
    parities of the core partitions are not preserved, these equivalences require
    crossovers, with a block of the symmtric group Morita equivalent to a block of
    the alternating group and vice versa. The result permits in improvement of the
    bound for Donovan's Conjecture given by Kessar.

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