Results 1 to 10 of about 1,758 (75)
On the cohomology of solvable Leibniz algebras [PDF]
Indagationes mathematicae, 2023 This paper is a sequel to our article [Feldvoss-Wagemann], where we mainly considered semi-simple Leibniz algebras. It turns out that the analogue of the Hochschild-Serre spectral sequence for Leibniz cohomology cannot be applied to many ideals, and ...
Jörg Feldvoss, F. Wagemann
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Extraction Algorithm of HOM-LIE Algebras Based on Solvable and Nilpotent Groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2023 Hom–Lie algebras are generalizations of Lie algebras that arise naturally in the study of nonassociative algebraic structures. In this paper, the concepts of solvable and nilpotent Hom–Lie algebras are studied further.
Shadi Shaqaqha, Nadeen Kdaisat
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Transposed Poisson structures on solvable and perfect Lie algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2023 We described all transposed Poisson algebra structures on oscillator Lie algebras, i.e. on one-dimensional solvable extensions of the (2n+1) -dimensional Heisenberg algebra; on solvable Lie algebras with naturally graded filiform nilpotent radical; on (n+
I. Kaygorodov, Abror Khudoyberdiyev
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The subpower membership problem of 2-nilpotent algebras [PDF]
Symposium on Theoretical Aspects of Computer Science, 2023 The subpower membership problem SMP(A) of a finite algebraic structure A asks whether a given partial function from A^k to A can be interpolated by a term operation of A, or not.
M. Kompatscher
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Zinbiel Algebras are Nilpotent [PDF]
Journal of Algebra and its Applications, 2022 In this paper we show that every finite-dimensional Zinbiel algebra over an arbitrary field is nilpotent, extending a previous result by other authors that they are solvable.
D. Towers
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On the Classification of 2-Solvable Frobenius Lie Algebras [PDF]
Journal of Lie theory, 2022 We discuss the classification of 2-solvable Frobenius Lie algebras. We prove that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an n-dimensional vector space V and an n-dimensional maximal Abelian subalgebra (MASA) of the full ...
A. Diatta, Bakary Manga, A. Mbaye
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On Maximal Extensions of Nilpotent Lie Algebras [PDF]
Functional analysis and its applications, 2022 Extensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered. Some properties of maximal extensions are proved. A counterexample to L.
V. Gorbatsevich
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Nilpotent decomposition of solvable Lie algebras [PDF]
Communications in Mathematical Sciences, 2019 Semisimple Lie algebras have been completely classified by Cartan and Killing. The Levi theorem states that every finite dimensional Lie algebra is isomorphic to a semidirect sum of its largest solvable ideal and a semisimple Lie algebra. These focus the
L. Qi
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Complex curves in hypercomplex nilmanifolds with
Journal of Geometry and Physics, 2022 An operator $I$ on a real Lie algebra $A$ is called a complex structure operator if $I^2=-Id$ and the $\sqrt{-1}$-eigenspace $A^{1,0}$ is a Lie subalgebra in the complexification of $A$.
Yulia Gorginyan
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Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
International Journal of Computational Intelligence Systems, 2023 The picture fuzzy set was introduced by Coung. It is a generalization of the intuitionistic fuzzy set, giving the notion of neutral membership degrees along with the positive and negative ones.
Sajida Kousar +3 more
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