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On the Disjoint Product of Irreducible Representations of the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

G. de B. Robinson
G. de B. Robinson*
Affiliation:
The University of Toronto
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The results of the present paper can be interpreted (a) in terms of the theory of the representations of the symmetric group, or (b) in terms of the corresponding theory of the full linear group. In the latter connection they give a solution to the problem of the expression of an invariant matrix of an invariant matrix as a sum of invariant matrices, in the sense of Schur's Dissertation. D. E. Littlewood has pointed out the significance of this problem for invariant theory and has attacked it via Schur functions, i.e. characters of the irreducible representations of the full linear group. We shall confine our attention here to the interpretation (a).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 1 , Issue 2 , 01 April 1949 , pp. 166 - 175
Copyright
Copyright © Canadian Mathematical Society 1949

References

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