Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
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Publication:855750
DOI10.1016/j.jalgebra.2006.01.004zbMath1128.17002arXivmath/0611642OpenAlexW2046673679WikidataQ123240309 ScholiaQ123240309MaRDI QIDQ855750
Publication date: 7 December 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611642
Structure theory for nonassociative algebras (17A60) Structure theory for Lie algebras and superalgebras (17B05) Leibniz algebras (17A32)
Related Items (35)
On the structure of graded 3-Leibniz algebras ⋮ ON NILPOTENT LEIBNIZ n-ALGEBRAS ⋮ Classification of solvable Leibniz algebras with null-filiform nilradical ⋮ On Classification of Filiform Leibniz Algebras ⋮ Conjugacy of Cartan subalgebras in solvable Leibniz algebras and real Leibniz algebras ⋮ The Schur Lie-multiplier of Leibniz algebras ⋮ On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras ⋮ On indecomposable non-simple \(\mathbb{N} \)-graded vertex algebras ⋮ Leibniz algebras associated with representations of Euclidean Lie algebra ⋮ On split Leibniz superalgebras ⋮ Solvable Leibniz algebras with \(NF_n\bigoplus F_m^1\) nilradical ⋮ Leibniz algebras constructed by representations of general diamond Lie algebras ⋮ Notes on Leibniz \(n\)-algebras ⋮ Second-maximal subalgebras of Leibniz algebras ⋮ Leibniz algebras and graphs ⋮ Semisimple Leibniz algebras, their derivations and automorphisms ⋮ On Lie-central extensions of Leibniz algebras ⋮ Leibniz algebras associated with representations of the diamond Lie algebra ⋮ A Frattini Theory for Leibniz Algebras ⋮ On some zero-filiform algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ2 ⋮ Solvable Leibniz algebras with filiform nilradical ⋮ On Isomorphisms and Invariants of Finite Dimensional Complex Filiform Leibniz Algebras ⋮ Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems ⋮ Some Theorems on Leibniz Algebras ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ1 and ℒ3 ⋮ ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μn ⋮ The classification of filiform Leibniz superalgebras of nilindex \(n+m\) ⋮ Leibniz algebras constructed by Witt algebras ⋮ On the Structure of Graded Leibniz Algebras ⋮ On some properties of Lie-centroids of Leibniz algebras ⋮ Solvable Leibniz Algebras with Heisenberg Nilradical ⋮ Representations of Leibniz algebras ⋮ Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras ⋮ Right and left solvable extensions of an associative Leibniz algebra
Cites Work
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- Leibniz homology of dialgebras of matrices
- Homology and cohomology with coefficients, of an algebra over a quadratic operad
- A noncommutative version of Lie algebras: Leibniz algebras
- Ten-term exact sequence of Leibniz homology
- The Second Leibniz Homology Group for Kac-Moody Lie Algebras
- ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
- Crossed extensions of leibniz algebras
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