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On a conjecture of Carter concerning irreducible Specht modules

Published online by Cambridge University Press:  24 October 2008

G. D. James
G. D. James
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Cambridge
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Extract

We study the question: Which ordinary irreducible representations of the symmetric group remain irreducible modulo a prime p?

Let Sλ be the Specht module corresponding to the partition λ of n. The definition of Sλ is ‘independent of the field we are working over’. When the field has characteristic zero, Sλ is irreducible, and gives the ordinary irreducible representation of corresponding to the partition λ. Thus we are interested in the problem of whether or not Sλ is irreducible over a field of characteristic p.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 1 , January 1978 , pp. 11 - 17
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

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