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On Characterizing Nilpotent Lie Algebra by Their Multiplier, $$ s(L)=6, 7 $$

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Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of… Click to show full abstract

Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of a Lie algebra L. The structures of nilpotent Lie algebras L when s(L) ∈ {0, 1, 2, 3, 4, 5} are determined. In this paper, we classify all non-abelian nilpotent Lie algebras L when s(L) = 6, 7.

Keywords: lie; lie algebra; nilpotent lie; algebra multiplier; characterizing nilpotent

Journal Title: Results in Mathematics
Year Published: 2022

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