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On tensor factorisation for representations of finite groups

Published online by Cambridge University Press:  17 April 2009

Emanuele Pacifici
Emanuele Pacifici
Affiliation:
Dipartimento di Matematica ‘Ulisse Dini’, Università degli Studi di Firenze, viale Morgagni 67-A, 50134 Firenze, Italy, e-mail: [email protected]
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We prove that, given a quasi-primitive complex representation D for a finite group G, the possible ways of decomposing D as an inner tensor product of two projective representations of G are parametrised in terms of the group structure of G. More explicitly, we construct a bijection between the set of such decompositions and a particular interval in the lattice of normal subgroups of G.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 161 - 171
Copyright
Copyright © Australian Mathematical Society 2004

References

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