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Completable filiform Lie algebras

J. M. Ancochea, R. Campoamor

math.RAarXiv:math/0202289

Abstract

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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