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On the minimal dimensions of irreducible representations of symmetric groups

Published online by Cambridge University Press:  24 October 2008

G. D. James
G. D. James
Affiliation:
Sidney Sussex College, Cambridge
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Extract

For each integer m, Rasala [6] has shown how to list all the ordinary irreducible representations of the symmetric group n which have degree less than nm, provided that n is large enough, and in this note we shall prove similar results for the irreducible representations of n over an arbitrary field K. Our estimates are very crude, so although we recover Rasala's results, we get nowhere near his precise information on how large n has to be.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 94 , Issue 3 , November 1983 , pp. 417 - 424
Copyright
Copyright © Cambridge Philosophical Society 1983

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References

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