Linear Representations of Semisimple Lie Algebras

  • Jean-Pierre Serre
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter, \(\mathfrak{g}\) denotes a complex semisimple Lie algebra, \(\mathfrak{h}\) a Cartan subalgebra of \(\mathfrak{g}\) and R the corresponding root system. We choose a base S = α1,…, αn of R, and we denote by R+ the set of positive roots (with respect to S).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Jean-Pierre Serre
    • 1
  1. 1.Collège de FranceParis Cedex 05France

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