副自由中心-亚元李代数

Mathematical Sciences and Applications E-Notes Pub Date : 2020-10-09 DOI:10.36753/mathenot.747990

Zehra Velioǧlu

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摘要

设L是李代数。表示L × L (cid:48)(cid:48)的派生级数的第二项。定义了仿自由中心-元李代数。我们证明了如果L是一个无中心-代谢物，那么L的中心是L (cid:48)(cid:48)。进一步证明了代数L/L (cid:48)(cid:48)是副自由元李代数。

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Parafree Center-by-Metabelian Lie Algebras

Let L be a Lie algebra. Denote the second term of the derived series of L by L (cid:48)(cid:48) . 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 (cid:48)(cid:48) . Moreover we show that the algebra L/L (cid:48)(cid:48) is parafree metabelian Lie algebra.

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Mathematical Sciences and Applications E-Notes

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