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Restricting and Inducing on Inner Products of Representations of Finite Groups

Published online by Cambridge University Press:  20 November 2018

G. de B. Robinson
G. de B. Robinson*
Affiliation:
University of Toronto, Toronto, Ontario
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Of recent years the author has been interested in developing a representation theory of the algebra of representations [5; 6] of a finite group G, and dually of its classes [7]. In this paper Frobenius’ Reciprocity Theorem provides a starting point for the introduction of the inverses R-1 and I-1 of the restricting and inducing operators R and I. The condition under which such inverse operations are available is that the classes of G do not splitin the subgroup Ĝ. When this condition is satisfied the application of these operations to inner products is of interest.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1349 - 1354
Copyright
Copyright © Canadian Mathematical Society 1975

References

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