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Note on a Paper by Robinson

Published online by Cambridge University Press:  20 November 2018

J. A. Todd
J. A. Todd*
Affiliation:
Trinity College, Cambridge
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In a recent paper Robinson has obtained an explicit formula for the expression of an invariant matrix of an invariant matrix as a direct sum of invariant matrices. The object of the present note is to show that this formula may be deduced from known properties of Schur functions, with the aid of a result which the author has proved elsewhere.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 2 , 1950 , pp. 331 - 333
Copyright
Copyright © Canadian Mathematical Society 1950

References

[1] Littlewood, D. E., The Theory of Group Characters and Matrix Representations of Groups (Oxford, 1940).Google Scholar
[2] Littlewood, D. E., Invariant Theory, Tensors, and Group Characters, Philos. Trans. Roy. Soc. (A), vol. 239 (1944), 305–365.Google Scholar
[3] Littlewood, D. E., Invariants of Systems of Quadrics, Proc. London Math. Soc. (2), vol. 49 (1947), 282–306.Google Scholar
[4] Robinson, G. de B., On the Disjoint Product of Irreducible Representations of the Symmetric Group, Can. J. of Math., vol. 1 (1949), 166–175.Google Scholar
[5] Todd, J. A., A note on the Algebra of S-Functions, Proc. Cambridge Philos. Soc., vol. 45 (1949), 328–334.Google Scholar