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Adeles, Ideles, and the Class Groups

  • Dinakar Ramakrishnan
  • Robert J. Valenza
Part of the Graduate Texts in Mathematics book series (GTM, volume 186)

Abstract

To do harmonic analysis on a global field F, one needs to introduce two locally compact abelian groups: A F , the adele group, and I F , the idele group.

Keywords

Class Group Compact Abelian Group Global Field Dedekind Domain Algebraic Number Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Dinakar Ramakrishnan
    • 1
  • Robert J. Valenza
    • 2
  1. 1.Mathematics DepartmentCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Department of MathematicsClaremont McKenna CollegeClaremontUSA

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