Geodesic
Hook representations of the symmetric groups
Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 136-149

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

In this paper we are concerned with the representation theory of the symmetric groupsover a field K of characteristic p. Every field is a splitting field for the symmetric groups. Consequently, in order to study the modular representation theory of these groups, it is sufficient to work over the prime fields. However, we take K to be an arbitrary field of characteristic p, since the presentation of the results is not affected by this choice. Sn denotes the group of permutations of {x1, ..., xn], where x1,...,xn are independent indeterminates over K. The group algebra of Sn with coefficients in K is denoted by Фn. 
Peel, M. H. Hook representations of the symmetric groups. Glasgow mathematical journal, Tome 12 (1971) no. 2, pp. 136-149. doi: 10.1017/S0017089500001245
@article{10_1017_S0017089500001245,
     author = {Peel, M. H.},
     title = {Hook representations of the symmetric groups},
     journal = {Glasgow mathematical journal},
     pages = {136--149},
     year = {1971},
     volume = {12},
     number = {2},
     doi = {10.1017/S0017089500001245},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001245/}
}
TY  - JOUR
AU  - Peel, M. H.
TI  - Hook representations of the symmetric groups
JO  - Glasgow mathematical journal
PY  - 1971
SP  - 136
EP  - 149
VL  - 12
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001245/
DO  - 10.1017/S0017089500001245
ID  - 10_1017_S0017089500001245
ER  - 
%0 Journal Article
%A Peel, M. H.
%T Hook representations of the symmetric groups
%J Glasgow mathematical journal
%D 1971
%P 136-149
%V 12
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500001245/
%R 10.1017/S0017089500001245
%F 10_1017_S0017089500001245

[1] 1.Farahat, H. K., On the natural representation of the symmetric groups, Proc. Glasgow Math. Assoc. 5 (1962), 121–136. Google Scholar | DOI

[2] 2.Nakayama, T., On some modular properties of irreducible representations of a symmetric group, II, Japanese J. Math. 17 (1941), 165–184. Google Scholar | DOI

[3] 3.Peel, M. H., On the second natural representation of the symmetric groups, Glasgow Math. J. 10 (1969), 25–37. Google Scholar | DOI

[4] 4.Peel, M. H., Modular representations of the symmetric groups, Ph.D. Thesis, Sheffield, 1969. Google Scholar

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

[6] 6.Thrall, R. M. and Nesbitt, C., On the modular representations of the symmetric groups, Math. Ann. 43 (1942), 656–670. Google Scholar | DOI

Cité par Sources :