Resumen de Fine gradings and gradings by root systems on simple Lie algebras
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.
