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On The Number of Classes of a Finite Group Invariant for Certain Substitutions

Published online by Cambridge University Press:  20 November 2018

A. J. van Zanten  and
E. de Vries
A. J. van Zanten
Affiliation:
Duke University, Durham, North Carolina
E. de Vries
Affiliation:
Duke University, Durham, North Carolina
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In this paper we consider representations of groups over the field of the complex numbers.

The nth-Kronecker power σ⊗n of an irreducible representation σ of a group can be decomposed into the constituents of definite symmetry with respect to the symmetric group Sn. In the special case of the general linear group GL(N) in N dimensions the decomposition of the defining representation at once provides irreducible representations of GL(N) [9; 10; 11].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 5 , October 1974 , pp. 1090 - 1097
Copyright
Copyright © Canadian Mathematical Society 1974

References

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