Journal of Lie Theory

no. 2
Naturally Graded p-Filiform Lie Algebras in Arbitrary Finite Dimension
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 379-391
The present paper offers the classification of naturally graded $p$-filiform Lie algebras in arbitrary finite dimension $n$. For sufficiently high $n$, ($n \geq \max \{3p-1,p+8\}$), and for all admissible value of $p$ the results are a generalization of Vergne's in case of filiform Lie algebras [Vergne, M., Cohomologie des alg\`ebres de Lie nilpotentes. Application \`a l'\'etude de la variet\'e des alg\`ebres de Lie nilpotentes, Bull. Soc. Math. France 98 (1970) 81--116].
DOI: 10.5802/jolt.381
Classification: 22E60, 17B30, 17B70
Keywords: Nilpotent Lie algebra, filiform, naturally graded 
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     author = {J. M. Cabezas and E. Pastor},
     title = {Naturally {Graded} {p-Filiform} {Lie} {Algebras} in {Arbitrary} {Finite} {Dimension}},
     journal = {Journal of Lie Theory},
     pages = {379--391},
     year = {2005},
     volume = {15},
     number = {2},
     doi = {10.5802/jolt.381},
     zbl = {1070.17003},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.381/}
}
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J. M. Cabezas; E. Pastor. Naturally Graded p-Filiform Lie Algebras in Arbitrary Finite Dimension. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 379-391. doi: 10.5802/jolt.381

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