Let $\Phi$ be a root system and let $\Phi(\Zp)$ be the standard Chevalley$\Zp$-Lie algebra associated to $\Phi$. For any integer $t\geq 1$, let $G$ bethe uniform pro-$p$ group corresponding to the powerful Lie algebra $p^t\Phi(\Zp)$ and suppose that $p\geq 5$. Then the Iwasawa algebra $\Omega_G$ hasno nontrivial reflexive two-sided ideals. This was previously proved by theauthors for the root system $A_1$.
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机译：假设$ \ Phi $为根系统，并使$ \ Phi（\ Zp）$为与$ \ Phi $相关的标准Chevalley $ \ Zp $ -Lie代数。对于任何整数$ t \ geq 1 $，令$ G $为对应于强大李代数$ p ^ t \ Phi（\ Zp）$的统一pro- $ p $组，并假定$ p \ geq 5 $。然后，岩泽代数$ \ Omega_G $没有非平凡的反身两面理想。作者先前已经针对根系统$ A_1 $证明了这一点。
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