Parafree Center-by-Metabelian Lie Algebras
Abstract
Let L be a Lie algebra. Denote the second term of the derived series of L by L'' . We define the parafree centre-by-metabelian Lie algebras. We prove that if L is a parafree centre-by-metabelian, then the center of L is L'' . Moreover we show that the algebra L/L'' is parafree metabelian Lie algebra. ..................................................................................................................................................................................................................................
Keywords
Free Lie Algebra, Parafree Lie Algebra, Center by metabelian
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