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A LOCALISABLE CLASS OF PRIMITIVE IDEALS OF UNIFORM NILPOTENT IWASAWA ALGEBRAS

Part of: Structure and classification of infinite or finite groups Local rings and generalizations Rings and algebras arising under various constructions Chain conditions, growth conditions, and other forms of finiteness

Published online by Cambridge University Press:  21 July 2015

JONATHAN NELSON
JONATHAN NELSON*
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, UK
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Abstract

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We study the injective hulls of faithful characteristic zero finite dimensional irreducible representations of uniform nilpotent pro-p groups, seen as modules over their corresponding Iwasawa algebras. Using this we prove that the kernels of these representations are classically localisable.

MSC classification

Primary: 16L30: Noncommutative local and semilocal rings, perfect rings
Secondary: 16P50: Localization and Noetherian rings 16S99: None of the above, but in this section 20E18: Limits, profinite groups
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 1 , January 2016 , pp. 1 - 15
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

References

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