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math.RA2007★ 1 cited
Lie algebra F-normalisers are intravariant
Donald W. Barnes
Let F be a saturated formation of soluble Lie algebras and let U be an F-normaliser of the soluble Lie algebra L. Then U is intravariant in L.
math.RA2007★ 6 cited
On (n+2)-dimensional n-Lie algebras
Donald W. Barnes
I show that an (n+2)-dimensional n-Lie algebra over an algebraically closed field must have a subalgeba of codimension 1.