Hook representations of the symmetric groups
- 1 September 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Glasgow Mathematical Journal
- Vol. 12 (2) , 136-149
- https://doi.org/10.1017/s0017089500001245
Abstract
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.This publication has 4 references indexed in Scilit:
- On the second natural representation of the symmetric groupsGlasgow Mathematical Journal, 1969
- On the natural representation of the symmetric groupsProceedings of the Glasgow Mathematical Association, 1962
- On the Modular Representations of the Symmetric GroupAnnals of Mathematics, 1942
- On some modular properties of irreducible representations of a symmetric group, IJapanese journal of mathematics :transactions and abstracts, 1940