On completeness of some pro-solvable Lie algebras

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 comp...

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Veröffentlicht in:Filomat 2023, Vol.37 (19), p.6395-6415
Hauptverfasser: Abdurasulov, K.K., Omirov, B.A., Rakhimov, I.S., Solijanova, G.O.
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container_issue 19
container_start_page 6395
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creator Abdurasulov, K.K.
Omirov, B.A.
Rakhimov, I.S.
Solijanova, G.O.
description 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.
doi_str_mv 10.2298/FIL2319395A
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title On completeness of some pro-solvable Lie algebras
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