Modules over Iwasawa algebras

Coates, J. ; Schneider, P. ; Sujatha, R. (2003) Modules over Iwasawa algebras Journal of the Institute of Mathematics of Jussieu, 2 (1). pp. 73-108. ISSN 1474-7480

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Let G be a compact p-adic Lie group, and let Lambda(G) be its Iwasawa algebra. The present paper establishes results about the structure theory of finitely generated torsion Lambda(G)-modules, up to pseudo-isomorphism, which are largely parallel to the classical theory when G is abelian (except for basic differences which occur for those torsion modules which do not possess a non-zero global annihilator). We illustrate our general theory by concrete examples of such modules arising from the Iwasawa theory of elliptic curves without complex multiplication over the field generated by all of their p-power torsion points.

Item Type:Article
Source:Copyright of this article belongs to Cambridge University Press.
Keywords:Iwasawa Algebras; Elliptic Curves
ID Code:45257
Deposited On:25 Jun 2011 13:34
Last Modified:25 Jun 2011 13:34

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