SK_1 and Lie algebras |
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| Authors: | Peter Schneider Otmar Venjakob |
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| Institution: | 1. Mathematisches Institut, Universit?t Münster, Einsteinstr. 62, 48149, Münster, Germany
2. Mathematisches Institut, Universit?t Heidelberg, Im Neuenheimer Feld 288, 69120, Heidelberg, Germany
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| Abstract: | We investigate the vanishing of the group $SK_1(\Lambda (G))$ for the Iwasawa algebra $\Lambda (G)$ of a pro- $p$ $p$ -adic Lie group $G$ (with $p \ne 2$ ). 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. |
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