Abstract
We study the structure of arbitrary graded Lie algebras. We show that any of such algebras L with a symmetric G-support is of the form L=U+∑jIj with U a subspace of L1 and any Ij a well described graded ideal of L, satisfying [Ij,Ik]=0 if j≠k. Under certain conditions, the gr-simplicity of L is characterized and it is shown that L is the direct sum of the family of its minimal graded ideals, each one being a gr-simple graded Lie algebra.
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