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: | https://eprints.maths.manchester.ac.uk/id/eprint/1971 |
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