$$SK_1$$ SK 1 and Lie algebras
Identifieur interne : 000098 ( Main/Exploration ); précédent : 000097; suivant : 000099$$SK_1$$ SK 1 and Lie algebras
Auteurs : Peter Schneider [Allemagne] ; Otmar Venjakob [Allemagne]Source :
- Mathematische Annalen [ 0025-5831 ] ; 2013-12-01.
Abstract
Abstract: We investigate the vanishing of the group $$SK_1(\Lambda (G))$$ SK 1 ( Λ ( G ) ) for the Iwasawa algebra $$\Lambda (G)$$ Λ ( G ) of a pro- $$p$$ p $$p$$ p -adic Lie group $$G$$ G (with $$p \ne 2$$ p ≠ 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.
Url:
DOI: 10.1007/s00208-013-0943-0
Affiliations:
- Allemagne
- Bade-Wurtemberg, District de Karlsruhe, District de Münster, Rhénanie-du-Nord-Westphalie
- Heidelberg, Münster
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