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

DPMMS, Centre of Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB
E-mail: s.j.wadsley{at}dpmms.cam.ac.uk
Received 20 September 2005;
| Abstract |
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We prove a result about the possible dimensions of modules over the completed
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.