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Star Diagrams and the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

R. A. Staal*
Affiliation:
University of New Brunswick
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Abstract

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Introduction. The irreducible representations of the symmetric group Sn, were shown by A. Young to be in one-to-one correspondence with certain arrays of n nodes. E.g. for n = 12 and the partition λ = [4, 4, 3, 1] we have the array which we call a “Young diagram.” The question arises as to the manner in which various properties of the representations are reflected in their corresponding Young diagrams.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1950

References

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