Results 1 to 10 of about 649 (235)
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.
Sajida Kousar +3 more
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On solvable Lie groups of negative Ricci curvature [PDF]
Mathematische Zeitschrift, 2015 We consider the question of whether a given solvable Lie group admits a left-invariant metric of strictly negative Ricci curvature. We give necessary and sufficient conditions of the existence of such a metric for the Lie groups the nilradical of whose Lie algebra is either abelian or Heisenberg or standard filiform, and discuss some open questions.
Yuri Nikolayevsky +2 more
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On Surjectivity of the Power Maps of Solvable Lie Groups
Journal of Algebra, 2002 Let \(G\) be a connected solvable Lie group. The author finds conditions under which the power map \(P_n: G\to G\), \(P_ng=g^n\), is surjective. The most detailed results are obtained for the case where \(G\) is a semi-direct product of a compact torus and a simply connected solvable exponential group. If \(G\) is simply connected, the surjectivity of \
exaly +2 more sources
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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Topological loops with solvable multiplication groups of dimension at most six are centrally nilpotent [PDF]
International 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
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Controllability of affine right-invariant systems on solvable Lie groups [PDF]
Discrete 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
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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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Locally conformally balanced metrics on almost abelian Lie algebras
Complex 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
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Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups
International Journal of Mathematics and Mathematical Sciences, 2023 Dedicated to Al Farouk School & Kinder garten-Irbid ...
Shadi Shaqaqha, Nadeen Kdaisat
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Open 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
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