LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS
Dietrich BurdeSchool of Science and Engeneering , International University of Bremen , Campus Ring 1, Bremen, 28759, Germany
2002en
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ABSTRACT 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 -step nilpotent Lie algebra admits a non-singular prederivation.
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