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The Quarterly Journal of Mathematics Advance Access originally published online on October 19, 2006
The Quarterly Journal of Mathematics 2007 58(2):265-277; doi:10.1093/qmath/hal020
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© 2006. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

A BERNSTEIN-TYPE INEQUALITY FOR LOCALIZATIONS OF IWASAWA ALGEBRAS OF HEISENBERG PRO-p GROUPS

Simon Wadsley{dagger}

DPMMS, Centre of Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB

{dagger} E-mail: s.j.wadsley{at}dpmms.cam.ac.uk

Received 20 September 2005;
   Abstract

We prove a result about the possible dimensions of modules over the completed F group algebra of a Heisenberg pro-p group that are not torsion qua modules over the centre. We explain why this result is analogous to a result of Bernstein for modules over Weyl algebras in characteristic 0.


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