Free centre-by-metabelian Lie algebras in characteristic 2

Kovács, L. G. and Stöhr, Ralph (2013) Free centre-by-metabelian Lie algebras in characteristic 2. [MIMS Preprint]

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Abstract

We study free centre-by-metabelian Lie algebras over a field of characteristic 2. By using homological methods, we determine the dimensions of the fine homogeneous components of the second derived algebra. In conjunction with earlier results by Mansuro\v{g}lu and the second author, this leads to a complete description of the additive structure of the second derived ideal in the free centre-by-metabelian Lie ring.

Item Type: MIMS Preprint
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 17 Nonassociative rings and algebras
Depositing User: Prof Ralph Stöhr
Date Deposited: 02 May 2013
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1971

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