A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.
Ree,Generalized Lie elements,Canadian Journal of Mathematics12(1960) 493
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Graded Casimir elements and central extensions of color Lie algebras
A general construction method for graded Casimir elements and central extensions is given for color Lie algebras, with explicit examples for sl(2) graded by Z_3^2 and for q(n), osp(m|2n) graded by Z_2^2.