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Semisimple Algebras

  • J. L. Alperin
  • Rowen B. Bell
Part of the Graduate Texts in Mathematics book series (GTM, volume 162)

Abstract

This chapter provides the algebraic background necessary for the development in Chapter 6 of the character theory of finite groups. Section 12 contains a review of elementary module theory and a treatment of the basic notions of the representation theory of finite groups, finishing with Maschke’s theorem. This motivates Section 13, which concentrates on Wed-derburn’s classification of semisimple algebras and related topics.

Keywords

Finite Group Division Algebra Matrix Algebra Composition Factor Nilpotent Element 
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 1995

Authors and Affiliations

  • J. L. Alperin
    • 1
  • Rowen B. Bell
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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