We study the structure of arbitrary graded Lie algebras. We show that any of such algebras with a symmetric -support is of the form with a subspace of and any a well described graded ideal of , satisfying if . Under certain conditions, the gr-simplicity of is characterized and it is shown that 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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2009
American Institute of Physics
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