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On the Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group

Published online by Cambridge University Press:  20 January 2009

Ragy H. Makar
Ragy H. Makar
Affiliation:
The University, Abbassia, Cairo, Egypt.
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The Kronecker product of two irreducible matrix representations D(λ), D(μ) of the symmetric group on n letters, furnishes a representation of that group, which is, in general reducible. The question of what irreducible representations will appear in the analysis of such products has been dealt with by Prof. F. D. Murnaghan. Indeed he has obtained the analysis of D(n − p, λ2, …) × D(n − q, μ2, …), for the particular values, p = 1, q = 1, 2, 3, 4, 5; p = 2, q = 2, 3, 4; p = 3, q = 3, 4, applying a method which is a recurrence one, in the sense that to obtain such an analysis we have to look at some other analyses which come first in order.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 8 , Issue 3 , December 1949 , pp. 133 - 137
Copyright
Copyright © Edinburgh Mathematical Society 1949

References

REFERENCES

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