On the Iwasawa Algebra Associated to a Normal Element of $mathbb{C}_p$

Proceedings Mathematical Sciences

V Alexandru³  A Zaharescu¹  M Vâjâitu²  N Popescu⁴ 

[1] $$;Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 0 W. Green Street, Urbana, IL 0, USA$$;Department of Mathematics, University of Bucharest, Romania$$;Institute of Mathematics of the Romanian Academy, P.O. Box -, Bucharest 000, Romania$$

关键词: Iwasawa algebra;    local fields;    distributions.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Given a prime number 𝑝 and the Galois orbit $O(x)$ of a normal element 𝑥 of $mathbb{C}_p$, the topological completion of the algebraic closure of the field of 𝑝-adic numbers, we study the Iwasawa algebra of $O(x)$ with scalars drawn from $mathbb{Q}_p$ and relate it with $mathbb{Q}_p$-distributions and functionals.

【 授权许可】

Unknown