The subalgebra of the Lie algebra is called subinvariant in if and only if there is...

  

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The subalgebra of the Lie algebra is called subinvariant in if and only if there is a chain of subalgebras S KL, CL-1 CL C L = L such that ; is an ideal of -1 for i = 1,...S. Prove that every subalgebra of a nilpotent Lie algebra is subinvariant. The subalgebra of the Lie algebra is called subinvariant in if and only if there is a chain of subalgebras S KL, CL-1 CL C L = L such that ; is an ideal of -1 for i = 1,...S. Prove that every subalgebra of a nilpotent Lie algebra is subinvariant.