Permutation modules for the symmetric group
Clara Franchi, Alexander B. Ivanov, Mario Mainardis · Proceedings of the American Mathematical Society · 2016
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 F of characteristic 0 0 . We apply this machinery to determine the decomposition into irreducible submodules of the F [ S n ] F[S_n] -permutation module on the right cosets of the normaliser in S n S_n of the subgroup generated by a permutation of type ( 3 , 3 ) (3,3) .