Introduction to Representation Theory

  • T. Y. Lam
Part of the Problem Books in Mathematics book series (PBM)

Abstract

In this new chapter, we shift our main emphasis from rings to modules. More specifically, we study modules over finite-dimensional k-algebras, where k is a field. For such an algebra R, R/rad R is a finite-dimensional semisimple k-algebra, whose structure is completely determined by Wedder-burn’s Theorem. Thus, the study of simple (and semisimple) left R-modules is well under control.

Keywords

Finite Group Conjugacy Class Representation Theory Linear Group Irreducible Character 
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

  • T. Y. Lam
    • 1
  1. 1.Department of Mathematics MA-01University of CaliforniaBerkeleyUSA

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