Some solvable compatible Lie extensions of a nilpotent compatible Lie algebra
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Ushbu maqolada Li komponentlari klassik filiform Li algebralari Ln va Qn bo’lgan nilpotent
kompatibl Li algebrasini maksimal nilpotent ideal sifatida o’z ichiga olgan ba’zi yechiluvchan
kompatibli Li algebralari qurilgan.
1. Ancochea Berm´udez, J. M.; Campoamor-Stursberg, R.; Garc´ia Vergnolle, L. Indecomposable Lie algebras
with nontrivial Levi decomposition cannot have filiform radical. Int. Math. Forum 1 (2006), 309–316.
2. Ancochea Berm´udez, J. M.; Campoamor-Stursberg, R.; Garc´ia Vergnolle, L. Classification of Lie algebras
with naturally graded quasi-filiform nilradicals. J. Geom. Phys. 61 (2011), no. 11, 2168–2186.
3. Goze, M.; Khakimdjanov, Yu. Nilpotent Lie algebras. Mathematics and Its Applications, 361. Kluwer
Academic Publishers, Dordrecht, 1996. xvi+336 pp. ISBN 0-7923-3932-0.
4. Ladra, M.; Leite da Cunha, B.; Lopes, S. A. A classification of nilpotent compatible Lie algebras. Rend.
Circ. Mat. Palermo (2) 74 (2025), 70.
5. Mubarakzyanov, G. M. The classification of real structures of Lie algebra of order five. Izv. VUZ. Mat. 3
(1963), 99–106.
6. Ndogmo, J. C.; Winternitz, P. Solvable Lie algebras with abelian nilradicals. J. Phys. A 27 (1994), 405–
423.
7. Omirov, B. A.; Solijanova, G. O. On the uniqueness of maximal solvable extensions of nilpotent Lie
superalgebras. arXiv 2402.03012, 21 pp.
8. Snobl, L.; Kar´asek, D. Classification of solvable Lie algebras with a given nilradical by means of solvable
extensions of its subalgebras. Linear Algebra Appl. 432 (2010), no. 7, 1836–1850.
9. Tremblay, S.; Winternitz, P. Solvable Lie algebras with triangular nilradicals. J. Phys. A 31 (1998), 789–
806.
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