Minimal Matrix Representations of Five-Dimensional Lie Algebras

• R. Ghanam ^[2] ; G. Thompson ^[1]
  1. [1] University of Toledo

     University of Toledo

     City of Toledo, Estados Unidos

     
  2. [2] Virginia Commonwealth University in Qatar, Doha. Qatarr
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 30, Nº 1, 2015, págs. 95-133
• Idioma: inglés
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• Resumen

  • We obtain minimal dimension matrix representations for each indecomposable five- dimensional Lie algebra over R and justify in each case that they are minimal. In each case a matrix Lie group is given whose matrix Lie algebra provides the required representation.