Permutation modules for the symmetric group

Clara Franchi, Alexander A. Ivanov, Mario Mainardis

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we present a general method for computing the irreducible components of the permutation modules of the symmetric groups over a field $ F$ of characteristic 0. We apply this machinery to determine the decomposition into irreducible submodules of the $ F[S_n]$-permutation module on the right cosets of the normaliser in $ S_n$ of the subgroup generated by a permutation of type $ (3,3)$.
Original languageEnglish
Pages (from-to)3249-3262
Number of pages14
JournalProceedings of the American Mathematical Society
Volume145
DOIs
Publication statusPublished - 2017

Keywords

  • Permutation module
  • Symmetric group

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