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Free centre‐by‐metabelian Lie algebras in characteristic 2
Author(s) -
Kovács L. G.,
Stöhr Ralph
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdu011
Subject(s) - mathematics , lie algebra , homogeneous , pure mathematics , killing form , field (mathematics) , adjoint representation of a lie algebra , ring (chemistry) , ideal (ethics) , algebra over a field , lie conformal algebra , combinatorics , philosophy , chemistry , organic chemistry , epistemology
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 Mansuroǧlu 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.