Completable filiform Lie algebras

Mathematics – Rings and Algebras

Scientific paper

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11 pages

Scientific paper

We determine the solvable complete Lie algebras whose nilradical is
isomorphic to a filiform Lie algebra. Moreover we show that for any positive
integer $n$ there exists a solvable complete Lie algebras whose second
cohomology group with values in the adjoint module has dimension at least $n$.

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