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Irreducible representations of finitely generated nilpotent groups

Published online by Cambridge University Press:  24 October 2008

Daniel Segal
Daniel Segal
Affiliation:
Queen Mary College, London
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Extract

1. Introduction. It is well known that every finite-dimensional irreducible representation of a nilpotent group over an algebraically closed field is monomial, that is induced from a 1-dimensional representation of some subgroup. However, even a finitely generated nilpotent group in general has infinite-dimensional irreducible representations, and as a first step towards an understanding of these one wants to discover whether they too are necessarily monomial. The main point of this note is to show how far they can fail to be so.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 2 , March 1977 , pp. 201 - 208
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

REFERENCES

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