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Modular spin representations of the symmetric group

Published online by Cambridge University Press:  24 October 2008

R. H. Jones
R. H. Jones
Affiliation:
Department of Pure Mathematics, University College of Wales, Aberystwyth Department of Mathematics, Lanchester Polytechnic, Coventry
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Extract

1. Let Γn be the representation group or spin group (4, 9) of Sn. Then the irreducible representations of Γn are of two distinct types. These are (a) ordinary representations, which are the irreducible representations of the symmetric group and (b) spin or projective representations. Corresponding to every partition (λ) = (λ1, λ2, …, λm) of n with λ1 > λ2 > … > λm > 0 there is an irreducible spin representation 〈λ〉 of Γn.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 2 , March 1971 , pp. 365 - 372
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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