Construction and classification of complex simple Lie algebras via projective geometry

• J.M. Landsberg ^[1] ; L. Manivel ^[2]
  1. [1] Georgia Institute of Technology

     Georgia Institute of Technology

     Estados Unidos

     
  2. [2] Institut Fourier

     Institut Fourier

     Arrondissement de Grenoble, Francia

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 8, Nº. 1, 2002, págs. 137-159
• Idioma: inglés
• DOI: 10.1007/s00029-002-8103-5
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We construct the complex simple Lie algebras using elementary algebraic geometry. We use our construction to obtain a new proof of the classification of complex simple Lie algebras that does not appeal to the classification of root systems.