A Presentation of the Free Lie Algebra M&lt;sub&gt;2,m&lt;/sub&gt;

Gök, Gülistan Kaya

doi:10.13189/ms.2017.050303

2017

DOI: 10.13189/ms.2017.050303

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A Presentation of the Free Lie Algebra M<sub>2,m</sub>

Gülistan Kaya Gök¹

Abstract: Let M 2,m be a free metabelian nilpotent Lie algebra of rank 2 and nilpotency class m − 1. It is shown that M 2,m admits a minimal presentation whose set of defining relators consists of certain types of basic commutators of length at most m.

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A Presentation of the Free Lie Algebra M<sub>2,m</sub>

Abstract: Let M 2,m be a free metabelian nilpotent Lie algebra of rank 2 and nilpotency class m − 1. It is shown that M 2,m admits a minimal presentation whose set of defining relators consists of certain types of basic commutators of length at most m.

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References 5 publications

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