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arXiv · 0710.0635

Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type

Konstantin Ardakov·Feng Wei·James J. Zhang
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Abstract

Let $Φ$ be a root system and let $Φ(\Zp)$ be the standard Chevalley $\Zp$-Lie algebra associated to $Φ$. For any integer $t\geq 1$, let $G$ be the uniform pro-$p$ group corresponding to the powerful Lie algebra $p^t Φ(\Zp)$ and suppose that $p\geq 5$. Then the Iwasawa algebra $Ω_G$ has no nontrivial reflexive two-sided ideals. This was previously proved by the authors for the root system $A_1$.

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BibTeXRIS

Konstantin Ardakov, Feng Wei, James J. Zhang. 2007-12-05. Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type. https://arxiv.org/abs/0710.0635

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