Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type
| dc.creator | Ardakov, Konstantin | |
| dc.creator | Wei, Feng | |
| dc.creator | Zhang, James J. | |
| dc.date | 2007-10-02 | |
| dc.date | 2007-12-05 | |
| dc.date.accessioned | 2026-07-07T08:47:05Z | |
| dc.date.available | 2026-07-07T08:47:05Z | |
| dc.description | 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 $A_1$. | |
| dc.description | Minor changes made, mostly due to helpful comments from the referee | |
| dc.identifier | https://arxiv.org/abs/0710.0635 | |
| dc.identifier | http://arxiv.org/abs/0710.0635 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143477 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Number Theory | |
| dc.subject | 16L30, 16P40 | |
| dc.title | Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type | |
| dc.type | text |