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Hook representations of the symmetric groups

Published online by Cambridge University Press:  18 May 2009

M. H. Peel
M. H. Peel
Affiliation:
The University, Sheffield
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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.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 12 , Issue 2 , September 1971, pp. 136 - 149
Copyright
Copyright © Glasgow Mathematical Journal Trust 1971

References

REFERENCES

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