Lie algebras with a given lattice of ideals.

Kamola Khakimdjanova

Displaying similar documents to “Lie algebras with a given lattice of ideals.”

Large construction for nonsolvable Lie algebras.

Ciobanu, Camelia, Colţescu, Ion (2004)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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The Lie algebra of endomorphisms of an infinite-dimensional vector space

Ian Stewart (1972)

Compositio Mathematica

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Some counterexamples for infinite dimensional Lie algebras

Gary E. Stevens (1978)

Compositio Mathematica

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Root multiplicities and ideals in quasisimple Lie algebras.

Helmer Aslaksen, Terje Wahl (1993)

Mathematica Scandinavica

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Computations in finite-dimensional Lie algebras.

Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

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Structure of perfect Lie algebras without center and outer derivations

Saïd Benayadi (1996)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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On classification of metabelian Lie algebras.

Galitski, L.Yu., Timashev, D.A. (1999)

Journal of Lie Theory

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The construction of 3-Lie 2-algebras

Chunyue Wang, Qingcheng Zhang (2018)

Czechoslovak Mathematical Journal

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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.

Ideals of finite codimension in contact Lie algebra.

Benalili, Mohammed, Lansari, Azzedine (2001)

Journal of Lie Theory

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Classification of solvable Lie algebras.

de Graaf, W.A. (2005)

Experimental Mathematics

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Linear maps Lie derivable at zero on 𝒥-subspace lattice algebras

Xiaofei Qi, Jinchuan Hou (2010)

Studia Mathematica

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A linear map L on an algebra is said to be Lie derivable at zero if L([A,B]) = [L(A),B] + [A,L(B)] whenever [A,B] = 0. It is shown that, for a 𝒥-subspace lattice ℒ on a Banach space X satisfying dim K ≠ 2 whenever K ∈ 𝒥(ℒ), every linear map on ℱ(ℒ) (the subalgebra of all finite rank operators in the JSL algebra Alg ℒ) Lie derivable at zero is of the standard form A ↦ δ (A) + ϕ(A), where δ is a generalized derivation and ϕ is a center-valued linear map. A characterization of linear...