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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/01/0045-0055

    • Keywords

       

      Iwasawa algebra; local fields; distributions.

    • Abstract

       

      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.

    • Author Affiliations

       

      V Alexandru1 N Popescu2 M Vâjâitu2 A Zaharescu2 3

      1. Department of Mathematics, University of Bucharest, Romania
      2. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, Bucharest 014700, Romania
      3. Department of Mathematics, University of Illinois at Urbana-Champaign, Altgeld Hall, 1409 W. Green Street, Urbana, IL 61801, USA

    • Dates

       
      Published
      February 2010
      Manuscript received
      10 December 2008
      Manuscript revised
      26 October 2009

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