A Generalization of a Construction Due to Robinson
Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 665-672
Voir la notice de l'article provenant de la source Cambridge University Press
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.
Thomas, Glânffrwd P. A Generalization of a Construction Due to Robinson. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 665-672. doi: 10.4153/CJM-1976-067-1
@article{10_4153_CJM_1976_067_1,
author = {Thomas, Gl\^anffrwd P.},
title = {A {Generalization} of a {Construction} {Due} to {Robinson}},
journal = {Canadian journal of mathematics},
pages = {665--672},
year = {1976},
volume = {28},
number = {3},
doi = {10.4153/CJM-1976-067-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-067-1/}
}
[1] 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] 2. de, G. Robinson, B., On the representations of the symmetric group, Amer. J. Math. 60 (1938), 745–760. Google Scholar
[3] 3. Thomas, G. P., Baxter algebras and Schur functions, Ph.D. Thesis, University College of Swansea, Sept. 1974. Google Scholar
Cité par Sources :