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Representations ofsl3ℂ, Part II: Mainly Lots of Examples

  • William Fulton
  • Joe Harris
Part of the Graduate Texts in Mathematics book series (GTM, volume 129)

Abstract

In this lecture we complete the analysis of the irreducible representations of\(\mathfrak{s}{\mathfrak{l}_3}\mathbb{C}\)culminating in §13.2 with the answers to all three of the questions raised at the end of the last lecture: we explicitly construct the unique irreducible representation with given highest weight, and in particular determine its multiplicities. The latter two sections correspond to §11.2 and §11.3 in the lecture on \(\mathfrak{s}{{\mathfrak{l}}_{2}}\mathbb{C} \). In particular, §13.4, like §11.3, involves some projective algebraic geometry and may be skipped by those to whom this is unfamiliar.

Keywords

Tensor Product Irreducible Representation Representation Versus High Weight Vector Symmetric Power 
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

  • William Fulton
    • 1
  • Joe Harris
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsHarvard UniversityCambridgeUSA

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