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- W1994848781 abstract "A theorem concerning the explicit form of the eigenvalues of the class sums of the symmetric group (Sn) is derived and used to obtain the following results: (1) the centre of the Sn-algebra is generated by means of polynomials in the set of elements consisting of the generators of the centre of the Sn-k algebra augmented by the single cycle class sums ((2))n, ((3))n, . . ., ((k+1))n; (2) the irreps of Sn with up to k rows are fully specified by the class sums ((2))n, ((3))n, . . ., ((k))n. Furthermore, it is found that the k class sums ((2))n, ((3))n, . . ., ((k+1))n suffice to specify the irreps of Sn for all n<or=nmax(k), where nmax(k)>>k." @default.
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- W1994848781 date "1991-11-21" @default.
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- W1994848781 title "Some useful results concerning the representation theory of the symmetric group" @default.
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- W1994848781 doi "https://doi.org/10.1088/0305-4470/24/22/006" @default.
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