SK_1 and Lie Algebras
Rings and Algebras
2011-08-01 v1 Number Theory
Abstract
We investigate the vanishing of the group SK1(A(G)) for the Iwasawa algebra A(G) of a pro-p p-adic Lie group G (with p different from 2). We reduce this vanishing to a linear algebra problem for Lie algebras over arbitrary rings, which we solve for Chevalley orders in split reductive Lie algebras.
Keywords
Cite
@article{arxiv.1107.6008,
title = {SK_1 and Lie Algebras},
author = {Peter Schneider And Otmar Venjakob},
journal= {arXiv preprint arXiv:1107.6008},
year = {2011}
}
Comments
22 pages