A historical review of the classifications of Lie algebras

Luis Boza ^[1] ; Eugenio M. Fedriani ^[2] ; Juan Núñez ^[1] ; Ángel F. Tenorio ^[2]
1. [1] Universidad de Sevilla
  
  Universidad de Sevilla
  
  Sevilla, España
2. [2] Universidad Pablo de Olavide
  
  Universidad Pablo de Olavide
  
  Sevilla, España
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 54, Nº. 2, 2013, págs. 75-99
Idioma: inglés
Enlaces
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Resumen
- The problem of Lie algebras’ classification, in their different varieties, has been dealt with by theory researchers since the early 20th century. This problem has an intrinsically infinite nature since it can be inferred from the results obtained that there are features specific to each field and dimension. Despite the hundreds of attempts published, there are currently fields and dimensions in which only partial classifications of some families of algebras of low dimensions have been obtained. This article intends to bring some order to the achievements of this prolific line of research so far, in order to facilitate future research.