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- W2007014989 abstract "A constructive method is given for obtaining all the symmetrized nth powers of an induced representation. These are the representations in one-one correspondence with the irreducible representations of the symmetric group Sn and they are obtained here as induced representations. This problem has only previously been solved in the case n=2 by Mackey (1951, 2 and 3), and Bradley and Davies (1970). Partial decomposition of the nth Kronecker power of an induced representation on subspaces labelled by double coset representatives is used. An action of the symmetric group is defined on these subspaces causing aggregates of them to form larger subspaces which may be symmetrized separately. This symmetrization is achieved by inducing through an intermediate subgroup so that a basis for the space is obtained which explicitly contains all permutations by elements of Sn." @default.
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- W2007014989 date "1973-12-01" @default.
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- W2007014989 title "Symmetrized nth powers of induced representations" @default.
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- W2007014989 doi "https://doi.org/10.1088/0305-4470/6/12/004" @default.
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