Results 1 to 10 of about 39,739 (245)
Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment [PDF]
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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Profinite just infinite residually solvable Lie algebras [PDF]
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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Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]
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
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Controllability of affine right-invariant systems on solvable Lie groups [PDF]
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
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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]
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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Locally conformally balanced metrics on almost abelian Lie algebras
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
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Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups
Dedicated to Al Farouk School & Kinder garten-Irbid ...
Shadi Shaqaqha, Nadeen Kdaisat
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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
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Lie analysis, conserved quantities and solitonic structures of Calogero-Degasperis-Fokas equation
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
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Noncommutative Reduction of Nonlinear Schrödinger Equation on Lie Groups
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
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