Lie Groups pp 157-161 | Cite as

Highest-Weight Vectors

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)

Abstract

If G is a compact connected Lie group, we will show in Chapter 25 that its irreducible representations are parametrized uniquely by their highest-weight vectors. In this chapter, we will explain what this means and give some illustrative examples. The proofs will be postponed until later chapters, mostly Chapter 25.

Keywords

Irreducible Representation Weyl Group Standard Representation Weight Lattice Irreducible Constituent 
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 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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