Modules over Iwasawa algebras
| dc.creator | Coates, John H. | |
| dc.creator | Schneider, Peter | |
| dc.creator | Sujatha, Ramdoria | |
| dc.date | 2001-10-24 | |
| dc.date.accessioned | 2026-07-07T04:44:11Z | |
| dc.date.available | 2026-07-07T04:44:11Z | |
| dc.description | Let $p$ be a prime number, and $G$ a compact $p$-adic Lie group. We recall that the Iwasawa algebra $Λ(G)$ is defined to be the completed group ring of $G$ over the ring of $p$-adic integers. Interesting examples of finitely generated modules over $Λ(G),$ in which $G$ is the image of Galois in the automorphism group of a $p$-adic Galois representation, abound in arithmetic geometry. The study of such $Λ(G)$-modules arising from arithmetic geometry can be thought of as a natural generalization of Iwasawa theory. One of the cornerstones of classical Iwasawa theory is the fact that, when $G$ is the additive group of $p$-adic integers, a good structure theory for finitely generated $Λ(G)$-modules is known, up to pseudo-isomorphism. The aim of the present paper is to extend as much as possible of this commutative structure theory to the non-commuta tive case. | |
| dc.identifier | https://arxiv.org/abs/math/0110342 | |
| dc.identifier | http://arxiv.org/abs/math/0110342 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62535 | |
| dc.subject | Number Theory | |
| dc.title | Modules over Iwasawa algebras | |
| dc.type | text |