Elements of General Representation Theory

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


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations