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La Géométrie des Groupes Classiques

  • Authors
  • Jean Dieudonné

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge book series (MATHE2, volume 5)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Jean Dieudonné
    Pages 1-36
  3. Jean Dieudonné
    Pages 36-77
  4. Back Matter
    Pages 116-125

About this book

Introduction

From the reviews (Zentrallblatt MATH):

"This book gives an excellent survey of recent work on classical groups, simplifying and unifying the results of many authors. No attempt is made to cover all of the voluminous literature on classical groups; the author deals with only that portion of the subject which can be handled by the methods of linear algebra. By thus restricting his scope, he is able to include proofs of most of the results described, thereby making the book more self-contained than most Ergebnisse tracts.

In the reviewer's opinion, this is an important and well-written book which should help to stimulate research on the classical groups. The book not only gives a thorough exposition of the present state of the subject, but is also an excellent introduction to the modern techniques basic to further work in this field." 

Keywords

Linear algebraic groups group theory dilatations and transvections Geometric characterization of classical groups Automorphisms and isomorphisms of classical groups

Bibliographic information

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