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Plethysm of S-Functions

Published online by Cambridge University Press:  20 November 2018

A. O. Usher*
Affiliation:
Royal Holloway College (University of London), Englefield Green, Surrey
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The S-function , where is the ‘new multiplication' or plethysm of D. E. Littlewood [1], corresponds, in the sense defined below in (1), to the character afforded by a representation of the symmetric group Slm induced from a representation of the subgroup . The aim of this paper is to define the latter representation and deduce its character using a somewhat different approach from that in [3].

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

References

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