Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type

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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 $A_1$.
Minor changes made, mostly due to helpful comments from the referee

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Rings and Algebras, Number Theory, 16L30, 16P40

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http://salesiana.dossiersoluciones.com/handle/123456789/143477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0635
 http://arxiv.org/abs/0710.0635

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arXiv