Naturally graded -filiform Lie algebras in arbitrary finite dimension.

Cabezas, J.M.; Pastor, E.

Displaying similar documents to “Naturally graded $p$ -filiform Lie algebras in arbitrary finite dimension.”

The classification of two step nilpotent complex Lie algebras of dimension $8$

Zaili Yan, Shaoqiang Deng (2013)

Czechoslovak Mathematical Journal

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A Lie algebra $𝔤$ is called two step nilpotent if $𝔤$ is not abelian and $[𝔤, 𝔤]$ lies in the center of $𝔤$ . Two step nilpotent Lie algebras are useful in the study of some geometric problems, such as commutative Riemannian manifolds, weakly symmetric Riemannian manifolds, homogeneous Einstein manifolds, etc. Moreover, the classification of two-step nilpotent Lie algebras has been an important problem in Lie theory. In this paper, we study two step nilpotent indecomposable Lie algebras of dimension...

Some properties of the family $Γ$ of modular Lie superalgebras

Xiaoning Xu, Liangyun Chen (2013)

Czechoslovak Mathematical Journal

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In this paper, we continue to investigate some properties of the family $Γ$ of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras $Γ$ are intrinsic. Thereby, we classify...