Results 1 to 10 of about 39,739 (245)

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment [PDF]

open access: yesInternational 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
doaj   +2 more sources

Profinite just infinite residually solvable Lie algebras [PDF]

open access: yesInternational 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
doaj   +1 more source

Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]

open access: yesInternational Journal of Group Theory, 2020
The main result of our consideration is the proof of the centrally nilpotency of class two property for connected topological proper loops $L$ of dimension $\le 3$ which have an at most six-dimensional solvable indecomposable Lie group as their ...
Agota Figula, Ameer Al-Abayechi
doaj   +1 more source

Controllability of affine right-invariant systems on solvable Lie groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 1997
The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of ...
Yuri L. Sachkov
doaj   +2 more sources

Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]

open access: yesTheoretical 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
doaj   +1 more source

Locally conformally balanced metrics on almost abelian Lie algebras

open access: yesComplex Manifolds, 2021
We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj   +1 more source

Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2023
Dedicated to Al Farouk School & Kinder garten-Irbid ...
Shadi Shaqaqha, Nadeen Kdaisat
doaj   +1 more source

Minimal-time problems for linear control systems on homogeneous spaces of low-dimensional solvable nonnilpotent Lie groups

open access: yesOpen Mathematics, 2023
In this article, we are concerned with minimal-time optimal problems for the class of controllable linear control system on low-dimensional nonnilpotent solvable Lie groups and their homogeneous spaces.
Da Silva Adriano   +3 more
doaj   +1 more source

Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation

open access: yesAlexandria Engineering Journal, 2021
The paper investigates Calogero-Degasperis-Fokas (CDF) equation, an exactly solvable third order nonlinear evolution equation (Fokas, 1980). All possible functions for the unknown function F(ν) in the considered equation are listed that contains the ...
Adil Jhangeer   +5 more
doaj   +1 more source

Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups

open access: yesUniverse, 2022
We propose a new approach that allows one to reduce nonlinear equations on Lie groups to equations with a fewer number of independent variables for finding particular solutions of the nonlinear equations.
Alexander Breev   +2 more
doaj   +1 more source

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