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A Generalization of a Construction Due to Robinson

Published online by Cambridge University Press:  20 November 2018

Glânffrwd P. Thomas
Glânffrwd P. Thomas*
Affiliation:
University College of Wales, Penglais, Aberystwyth, Great Britain
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A method for constructing the product of two Schur functions was stated, but not proved in the most general case, by Littlewood and Richardson [1] in 1934. This method, which came to be known as the Littlewood-Richardson rule, was later proved completely by Robinson [2] in 1938. In this proof, Robinson describes an operation on a finite sequence of positive integers. It is this operation, set in a more general context, that is the subject of this paper.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 3 , 01 June 1976 , pp. 665 - 672
Copyright
Copyright © Canadian Mathematical Society 1976

References

1. Littlew∞d, D. E. and Richardson, A. R., Group characters and algebra, Phil. Trans. Royal Soc. London. A233 (1934), 99–141.Google Scholar
2. de, G. Robinson, B., On the representations of the symmetric group, Amer. J. Math. 60 (1938), 745–760.Google Scholar
3. Thomas, G. P., Baxter algebras and Schur functions, Ph.D. Thesis, University College of Swansea, Sept. 1974.Google Scholar