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On the Reduction of Permutation Representations

  • B. M. Puttaswamaiah (a1)

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In this paper an attempt is made to generalize the rather special role played by certain "Young subgroups" of Sn. In Theorem 1, the substitutional equation involving Young's raising operators for Sn is generalized to apply to an arbitrary subgroup H of a finite group G. Applying this to Sn, it is shown how the multiplicities mλ H can be calculated in terms of the raising operators in Theorem 2, which calculations are illustrated by a simple example.

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References

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1. Brauer, R., A characterization of characters of finite groups, Annals of Mathematics, Vol. 57, No. 2, (1953).
2. Prokop, W., Thesis, Eidgenőssische Technische Hochscule, Zurich (1948).
3. de B. Robinson, G., The Representation Theory of the Symmetric Group, University of Toronto Press (1961).
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On the Reduction of Permutation Representations

  • B. M. Puttaswamaiah (a1)

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