Results 1 to 10 of about 381 (256)
Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment [PDF]
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.
Tzung-Pei Hong +2 more
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Axioms, 2019 The generic structure and some peculiarities of real rank one solvable Lie algebras possessing a maximal torus of derivations with the eigenvalue spectrum spec ( t ) = 1 , k , k + 1 , ⋯ , n + k − 3 , n + 2 k − 3 for k ≥ 2
Rutwig Campoamor-Stursberg
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Profinite just infinite residually solvable Lie algebras [PDF]
International Journal of Group Theory, 2023 We provide some characterization theorems about just infinite profinite residually solvable Lie algebras, similarly to what C. Reid has done for just infinite profinite groups.
Dario Villanis Ziani
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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]
Theoretical and Applied Mechanics, 2020 In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
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Levi Decomposition of Frobenius Lie Algebra of Dimension 6
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
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Lie algebra classification for the Chazy equation and further topics related with this algebra.
Revista Politécnica, 2021 It is known that the classification of the Lie algebras is a classical problem. Due to Levi’s Theorem the question can be reduced to the classification of semi-simple and solvable Lie algebras.
Yeisson Alexis Acevedo-Agudelo +3 more
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On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
Researches in Mathematics, 2023 Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$.
D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
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C#-IDEALS OF LIE ALGEBRAS [PDF]
Journal of Algebraic Systems, 2021 Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$.
L. Goudarzi
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On the Method of Differential Invariants for Solving Higher Order Ordinary Differential Equations
Axioms, 2022 There are many routines developed for solving ordinary differential Equations (ODEs) of different types. In the case of an nth-order ODE that admits an r-parameter Lie group (3≤r≤n), there is a powerful method of Lie symmetry analysis by which the ODE is
Winter Sinkala, Molahlehi Charles Kakuli
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Algebraic cluster model calculations for vibrational to gamma-unstable shape phase transition in odd-A nuclei [PDF]
Journal of Nuclear Research and Applications, 2022 The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset.
M. Ghapanvari, A. Kargarian
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