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Symmetrized Kronecker Products of Group Representations

Published online by Cambridge University Press:  20 November 2018

P. H. Butler  and
R. C. King
P. H. Butler
Affiliation:
University of Canterbury, Christchurch, New Zealand
R. C. King
Affiliation:
The University, Southampton, England
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Certain phases are associated with the Kronecker squares and cubes of representations of the finite and of the compact semi-simple groups. These phases are important in giving the symmetry properties of the 1 — jm and 3 — jm symbols of the groups [4; 9]. It is our primary purpose to evaluate these phases.

The Frobenius-Schur invariant [12, p. 142] for an irreducible representation of group G

(1.1)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 2 , April 1974 , pp. 328 - 339
Copyright
Copyright © Canadian Mathematical Society 1974

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