Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces.

The review of the original French version in Mathematical Reviews observes that "the style is concise and the proofs (in later sections) are often demanding of the reader." To make the translation more approachable, numerous footnotes provide helpful comments.
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Fifty years after it was first published, Armand Borel's Introduction aux groupes arithmetiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory.
Read more
  • Some classical groups
  • Algebraic groups
  • Fundamental sets with cusps
  • Bibliography
  • Index.

    Product details

    ISBN
    9781470452315
    Published
    2019-12-30
    Publisher
    American Mathematical Society
    Weight
    253 gr
    Height
    254 mm
    Width
    178 mm
    Age
    P, 06
    Language
    Product language
    Engelsk
    Format
    Product format
    Heftet
    Number of pages
    128

    Author