Geodesic
On the Reduction of Permutation Representations
Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 385-395

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper an attempt is made to generalize the rather special role played by certain "Young subgroups" of Sn. In Theorem 1, the substitutional equation involving Young's raising operators for Sn is generalized to apply to an arbitrary subgroup H of a finite group G. Applying this to Sn, it is shown how the multiplicities mλ H can be calculated in terms of the raising operators in Theorem 2, which calculations are illustrated by a simple example. 
Puttaswamaiah, B. M. On the Reduction of Permutation Representations. Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 385-395. doi: 10.4153/CMB-1963-033-4
@article{10_4153_CMB_1963_033_4,
     author = {Puttaswamaiah, B. M.},
     title = {On the {Reduction} of {Permutation} {Representations}},
     journal = {Canadian mathematical bulletin},
     pages = {385--395},
     year = {1963},
     volume = {6},
     number = {3},
     doi = {10.4153/CMB-1963-033-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-033-4/}
}
TY  - JOUR
AU  - Puttaswamaiah, B. M.
TI  - On the Reduction of Permutation Representations
JO  - Canadian mathematical bulletin
PY  - 1963
SP  - 385
EP  - 395
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-033-4/
DO  - 10.4153/CMB-1963-033-4
ID  - 10_4153_CMB_1963_033_4
ER  - 
%0 Journal Article
%A Puttaswamaiah, B. M.
%T On the Reduction of Permutation Representations
%J Canadian mathematical bulletin
%D 1963
%P 385-395
%V 6
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1963-033-4/
%R 10.4153/CMB-1963-033-4
%F 10_4153_CMB_1963_033_4

[1] 1. Brauer, R., A characterization of characters of finite groups, Annals of Mathematics, Vol. 57, No. 2, (1953). Google Scholar

[2] 2. Prokop, W., Thesis, Eidgenőssische Technische Hochscule, Zurich (1948). Google Scholar

[3] 3. de B. Robinson, G., The Representation Theory of the Symmetric Group, University of Toronto Press (1961). Google Scholar

Cité par Sources :