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Elements of General Representation Theory

  • Bertram Huppert
  • Norman Blackburn
Chapter
  • 448 Downloads
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 242)

Abstract

In Chapter V, classical representation theory was studied. This is the theory of the group-ring KG and the KG-modules, where K is an algebraically closed field of characteristic 0. (Many theorems remain valid under the hypothesis that K is algebraically closed and that char K does not divide the order of G). In this case, KG is semisimple and all KG-modules are completely reducible. For many purposes it is therefore sufficient to handle the irreducible representations.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • Bertram Huppert
    • 1
  • Norman Blackburn
    • 2
  1. 1.Mathematisches Institut der UniversitätMainzGermany
  2. 2.Department of MathematicsThe UniversityGB-ManchesterUK

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