Mathematics – Rings and Algebras
Scientific paper
2004-09-16
Comm. in Algebra 30(7), 3157-3175 (2002)
Mathematics
Rings and Algebras
13 pages
Scientific paper
We study Lie algebra prederivations. A Lie algebra admitting a non-singular
prederivation is nilpotent. We classify filiform Lie algebras admitting a
non-singular prederivation but no non-singular derivation. We prove that any
4-step nilpotent Lie algebra admits a non-singular prederivation. The results
can be applied to construct affine structures on Lie algebras.
Burde Dietrich
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