K. Ardakov

activity

20042008

most citedNonexistence of reflexive ideals in Iwasawa algebras of Chevalley type

4 citations · 9 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.RA2008

Gamma-invariant ideals in Iwasawa algebras

K. Ardakov, S. J. Wadsley

Let kG be the completed group algebra of a uniform pro-p group G with coefficients in a field k of characteristic p. We study right ideals I in kG that are invariant under the acti…

math.RA2007★ 1 cited

Reflexive Ideals in Iwasawa Algebras

Konstantin Ardakov, Feng Wei, James J. Zhang

Let $G$ be a torsionfree compact $p$ -adic analytic group. We give sufficient conditions on $p$ and $G$ which ensure that the Iwasawa algebra $Ω_{G}$ of $G$ has no non-trivial two-sid…

math.RA2007★ 4 cited

Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type

Konstantin Ardakov, Feng Wei, James J. Zhang

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 correspondi…

math.RA2004★ 3 cited

Primeness, semiprimeness and localisation in Iwasawa algebras

Konstantin Ardakov, Kenneth A. Brown

Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elemen…