Multiplicity-free Representations of Symmetric Groups

  title={Multiplicity-free Representations of Symmetric Groups},
  author={Mark Wildon},
Building on work of Saxl, we classify the multiplicity-free permutation characters of all symmetric groups of degree 66 or more. A corollary is a complete list of the irreducible characters of symmetric groups (again of degree 66 or more) which may appear in a multiplicityfree permutation representation. The multiplicity-free characters in a related family of monomial characters are also classified. We end by investigating a consequence of these results for Specht filtrations of permutation… CONTINUE READING

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