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)$.
Lingua originale | English |
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pagine (da-a) | 3249-3262 |
Numero di pagine | 14 |
Rivista | Proceedings of the American Mathematical Society |
Volume | 145 |
DOI | |
Stato di pubblicazione | Pubblicato - 2017 |
Keywords
- Permutation module
- Symmetric group