Non-existence of reflexive ideals in Iwasawa algebras of Chevalley type

JOURNAL OF ALGEBRA

卷:320

Article

Ardakov, K.¹  Wei, F.²  Zhang, J. J.³ 

[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

[3] Univ Washington, Dept Math, Seattle, WA 98195 USA

关键词: Iwasawa algebra;    Chevalley type;    reflexive ideal;   

DOI  :  10.1016/j.jalgebra.2007.12.020

来源: Elsevier

【 摘 要 】

Let Phi be a root system and let Phi(Z(p)) be the standard Chevalley Z(p)-Lie algebra associated to Phi. For any integer t >= 1, let G be the uniform pro-p group corresponding to the powerful Lie algebra p(t) Phi(Z(p)) and suppose that p >= 5. Then the Iwasawa algebra Omega(G) has no non-trivial two-sided reflexive ideals. This was previously proved by the authors for the root system A(1). (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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