Mathematics – Rings and Algebras
Scientific paper
2011-01-16
Mathematics
Rings and Algebras
19 pages. Where old work on Lie algebras extends unchanged to Leibniz algebras, the proofs have been omitted. Corrects typos,
Scientific paper
I set out the theory of Schunck classes and projectors for soluble Leibniz
algebras, parallel to that for Lie algebras. Primitive Leibniz algebras come in
pairs, one (Lie) symmetric, the other antisymmetric. A Schunck formation
containing one member of a pair also contains the other. Projectors for a
Schunck formation are intravariant.
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