Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

In the paper we describe the derivations of two N-graded infinite-dimensional Lie algebras n1 and n2 which are the positive parts of the affine Kac-Moody algebras A(1) 1 and A(2) 2 , respectively. Then we construct all pro-solvable Lie algebras whose potential nilpotent ideals are n1 and n2 and compute low-dimensional (co)homology groups of the pro-solvable Lie algebras constructed.

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Residually solvable extensions of an infinite dimensional filiform Leibniz algebra

Cited by 3 publications

References 33 publications

Local derivations on solvable Lie algebras of maximal rank

Local derivations on solvable Lie algebras of maximal rank

Biderivations, commuting linear maps, post-Lie algebra structure on solvable Lie algebras of maximal rank

On completeness of some pro-solvable Lie algebras

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