A Galois theory for the Banach algebra of continuous symmetric functions on absolute Galois groups

Angel Popescu, Nicolae Popescu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we extend the techniques and the basic results of the classical Galois theory of the fields extension [InlineMediaObject not available: see fulltext.] is an algebraic closure of Q, to the algebras extension ℝ ⊂ ℂ sym(G), where this last is the ℝ— algebra of all the continuous symmetric functions ƒ defined on the absolute Galois group [InlineMediaObject not available: see fulltext.] with values in ℂ.

Original languageEnglish (US)
Pages (from-to)349-358
Number of pages10
JournalResults in Mathematics
Volume45
Issue number3-4
DOIs
StatePublished - May 1 2004

Keywords

  • Banach algebras
  • Galois groups
  • continuous functions
  • number fields

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematics (miscellaneous)

Fingerprint

Dive into the research topics of 'A Galois theory for the Banach algebra of continuous symmetric functions on absolute Galois groups'. Together they form a unique fingerprint.

Cite this