Frobenius Symbols and the Groups Ss GL(n), O(n) and Sp(n)
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 941-959

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

Frobenius [2; 3] introduced the symbols to specify partitions and the corresponding irreducible representations of the symmetric group S s .
Abramsky, Y. J.; Jahn, H. A.; King, R. C. Frobenius Symbols and the Groups Ss GL(n), O(n) and Sp(n). Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 941-959. doi: 10.4153/CJM-1973-100-2
@article{10_4153_CJM_1973_100_2,
     author = {Abramsky, Y. J. and Jahn, H. A. and King, R. C.},
     title = {Frobenius {Symbols} and the {Groups} {Ss} {GL(n),} {O(n)} and {Sp(n)}},
     journal = {Canadian journal of mathematics},
     pages = {941--959},
     year = {1973},
     volume = {25},
     number = {5},
     doi = {10.4153/CJM-1973-100-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-100-2/}
}
TY  - JOUR
AU  - Abramsky, Y. J.
AU  - Jahn, H. A.
AU  - King, R. C.
TI  - Frobenius Symbols and the Groups Ss GL(n), O(n) and Sp(n)
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 941
EP  - 959
VL  - 25
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-100-2/
DO  - 10.4153/CJM-1973-100-2
ID  - 10_4153_CJM_1973_100_2
ER  - 
%0 Journal Article
%A Abramsky, Y. J.
%A Jahn, H. A.
%A King, R. C.
%T Frobenius Symbols and the Groups Ss GL(n), O(n) and Sp(n)
%J Canadian journal of mathematics
%D 1973
%P 941-959
%V 25
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-100-2/
%R 10.4153/CJM-1973-100-2
%F 10_4153_CJM_1973_100_2

[1] 1. Frame, J. S., Robinson, G. de B., and Thrall, R. M., The hook graphs of the symmetric group, Can. J. Math. 6 (1954), 316–324. Google Scholar

[2] 2. Frobenius, F. G., Über die Charaktere der symmetrischen Gruppe, Sitz. Ber. Preuss. Akad., Berlin (1900), 516–534. Google Scholar

[3] 3. Frobenius, F. G., Über die charakteristischen Einheiten der symmetrischen Gruppe, Sitz. Ber. Preuss. Akad., Berlin (1903), 328–358. Google Scholar

[4] 4. Hamermesh, M., Group theory and its application to physical problems (Addison-Wesley, Reading, Massachusetts, 1962). Google Scholar

[5] 5. King, R. C., The dimensions of irreducible tensor representations of the orthogonal and symplectic groups, Can. J. Math. 23 (1971), 176–188. Google Scholar

[6] 6. King, R. C., Modification rules and products of irreducible representations of the unitary, orthogonal and symplectic groups, J. Math. Phys. 12 (1971), 1588–1598. Google Scholar

[7] 7. Littlewood, D. E., The theory of group characters, 2nd Edition (University Press, Oxford, 1950). Google Scholar

[8] 8. Littlewood, D. E., Products and plethysms of characters with orthogonal, symplectic and symmetric groups, Can. J. Math. 10 (1958), 17–32. Google Scholar

[9] 9. Newell, M. J., Modification rules for the orthogonal and symplectic groups, Proc. Roy. Irish. Acad. Sect A 54 (1951), 153–163. Google Scholar

[10] 10. Robinson, G. de B., Representation theory of the symmetric group (The University Press, Edinburgh, 1961). Google Scholar

Cité par Sources :