Tableau Correspondences and Representation Theory

Published 27 Aug 2018 in math.RT and math.CO | (1808.08679v2)

Abstract: We deduce decompositions of natural representations of general linear groups and symmetric groups from combinatorial bijections involving tableaux. These include some of Howe's dualities, Gelfand models, the Schur-Weyl decomposition of tensor space, and multiplicity-free decompositions indexed by threshold partitions.

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