Subspaces of Real Four-Dimensional Lie Algebras: a Classification of Subalgebras, Ideals, and Full-Rank Subspaces

• Rory Biggs ^[1] ; Claudiu C. Remsing ^[1]
  1. [1] Rhodes University

     Rhodes University

     Makana, Sudáfrica

     
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 30, Nº 1, 2015, págs. 41-93
• Idioma: inglés
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• Resumen

  • We classify the subspaces of each real four-dimensional Lie algebra, up to automorphism.

    Enumerations of the subalgebras, ideals, and full-rank (or bracket generating) subspaces are obtained. Also, the interplay between quotients (resp. extensions) of algebras and such classifications is briefly considered.