Abstract.Let be a root system and let (Zp) be the standard Chevalley
Zp-Lie algebra associated to . For any integer t > 1, let G be the unif*
*orm
pro-p group corresponding to the powerful Lie algebra pt (Zp) and suppose
that p > 5. Then the Iwasawa algebra G has no nontrivial two-sided refl*
*exive