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Symmetric and Exterior Squares of Hook Representations

Representation Theory 2020-05-06 v3 Combinatorics Group Theory

Abstract

We determine the multiplicities of irreducible summands in the symmetric and the exterior squares of hook representations of symmetric groups over an algebraically closed field of characteristic zero.

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Cite

@article{arxiv.1909.07489,
  title  = {Symmetric and Exterior Squares of Hook Representations},
  author = {Szabolcs Mészáros and János Wolosz},
  journal= {arXiv preprint arXiv:1909.07489},
  year   = {2020}
}

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23 pages