Fine gradings and gradings by root systems on simple Lie algebras

Alberto Elduque ^[1]
1. [1] Universidad de Zaragoza
  
  Universidad de Zaragoza
  
  Zaragoza, España
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 1, 2015, págs. 245-266
Idioma: inglés
DOI: 10.4171/RMI/832
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Resumen
- Given a fine abelian group grading Γ:L=⨁g∈GLg on a finite dimensional simple Lie algebra over an algebraically closed field of characteristic zero, with G being the universal grading group, it is shown that the induced grading by the free group G/tor(G) on L is a grading by a (not necessarily reduced) root system.