The Dual of Frobenius' Reciprocity Theorem
Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1051-1059

Voir la notice de l'article provenant de la source Cambridge University Press

In two preceding papers [2; 3] the author has studied the algebras of the irreducible representations λ and the classes C i of a finite group G. Integral representations {λ} and {C i } of these algebras are derivable from the appropriate multiplication tables [4]. It should be emphasized, however, that the symmetry properties of the two sets of structure constants are not the same, and this leads to somewhat greater complexity in the formulae relating to classes as compared to representations.
Robinson, G. de B. The Dual of Frobenius' Reciprocity Theorem. Canadian journal of mathematics, Tome 25 (1973) no. 5, pp. 1051-1059. doi: 10.4153/CJM-1973-112-6
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[1] 1. Robinson, G. de. B., Group representations and geometry, J. Mathematical Phys. 11 (1970), 3428–32. Google Scholar

[2] 2. Robinson, G. de. B., The algebras of representations and classes of finite groups, J. Mathematical Phys. 12 (1971), 2212–2215. Google Scholar

[3] 3. Robinson, G. de. B., Tensor product representations, J. Algebra 20 (1972), 118–123. Google Scholar

[4] 4. Burnside, W., The theory of groups (Cambridge Univ. Press, Cambridge, 1910). Google Scholar

[5] 5. Gamba, A., Representations and classes in groups of finite order, J. Mathematical Phys. 9 (1968), 186–192. Google Scholar

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