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Representations of sl3ℂ, Part I

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

Abstract

This lecture develops results for \(\mathfrak{s}{{\mathfrak{l}}_{2}}\mathbb{C} \) analogous to those of §11.1 (though not in exactly the same order). This involves generalizing some of the basic terms of §11 (e.g., the notions of eigenvalue and eigenvector have to be redefined), but the basic ideas are in some sense already in §11. Certainly no techniques are involved beyond those of §11.1.

Keywords

Irreducible Representation Adjoint Representation Representation Versus High Weight Vector Root Space 
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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