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The Spin Representation of the Symmetric Group

Published online by Cambridge University Press:  20 November 2018

A. O. Morris
A. O. Morris*
Affiliation:
University College of Wales, Aberystwyth, Wales
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Let Γn be the representation group or spin group (9; 4) of the symmetric group Sn. Then the irreducible representations of Γn can be allocated into two classes which we shall call (i) ordinary representations, which are the irreducible representations of the symmetric group, and (ii) spin or projective representations.

As is well known (3; 5), there is an ordinary irreducible representation [λ] corresponding to every partition (λ) = (λ1, λ2, . . . , λm) of n with

λ1 ≥ λ2 ≥ . . . ≥ λm > 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 543 - 549
Copyright
Copyright © Canadian Mathematical Society 1965

References

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