Geodesic
On completeness of some pro-solvable Lie algebras
Filomat, Tome 37 (2023) no. 19, p. 6395

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In the paper we describe the derivations of two N-graded infinite-dimensional Lie algebras n 1 and n 2 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 n 1 and n 2 and compute low-dimensional (co)homology groups of the pro-solvable Lie algebras constructed.
DOI : 10.2298/FIL2319395A
Classification : 17B40, 17B56, 17B65
Keywords: Lie algebra, Potentially nilpotent Lie algebra, Pro-nilpotent (pro-solvable) Lie algebra, Cohomology group 
K K Abdurasulov; B A Omirov; I S Rakhimov; G O Solijanova. On completeness of some pro-solvable Lie algebras. Filomat, Tome 37 (2023) no. 19, p. 6395 . doi: 10.2298/FIL2319395A
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     title = {On completeness of some pro-solvable {Lie} algebras},
     journal = {Filomat},
     pages = {6395 },
     year = {2023},
     volume = {37},
     number = {19},
     doi = {10.2298/FIL2319395A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319395A/}
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