English

On McKay's propagation theorem for the Foulkes conjecture

Representation Theory 2015-09-17 v1 Algebraic Geometry

Abstract

We translate the main theorem in Tom McKay's paper "On plethysm conjectures of Stanley and Foulkes" (J. Alg. 319, 2008, pp. 2050-2071) to the language of weight spaces and projections onto invariant spaces of tensors, which makes its proof short and elegant.

Keywords

Cite

@article{arxiv.1509.04957,
  title  = {On McKay's propagation theorem for the Foulkes conjecture},
  author = {Christian Ikenmeyer},
  journal= {arXiv preprint arXiv:1509.04957},
  year   = {2015}
}

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9 pages