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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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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Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
We introduce most of the concepts for q-Lie algebras in a way independent of the base field K. Again it turns out that we can keep the same Lie algebra with a small modification.
Ernst Thomas
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On polynomial products in nilpotent and solvable Lie groups [PDF]
It is a well known result of Malcev that the multiplication maps of any connected, simply connected, nilpotent Lie group induced by Malcev coordinates are polynomial in both variables. The author shows that some kind of converse is true as well: the only Lie groups that admit bi-polynomial multiplication maps are the connected, simply connected ...
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Lp-Fourier transforms on nilpotent Lie groups and solvable Lie groups acting on Siegel domains [PDF]
L'auteur précise l'inégalité de Hausdorff-Young sur la norme des transformées de Fourier des fonctions de \(L^ p\) dans le cas des groupes de Lie nilpotent et dans celui des groupes d'automorphismes affines sur un domaine de Siegel.
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Bi-invariant Schwartz multipliers and local solvability on nilpotent Lie groups [PDF]
Let N be a connected, simply connected nilpotent Lie group, with Lie algebra \({\mathcal N}\). Define the Schwartz space \({\mathcal S}(N)\) of N by \(f\in {\mathcal S}(N)\) \(\Leftrightarrow\) \(f\circ \exp \in {\mathcal S}({\mathcal N})\), and let M\({\mathcal S}(N)\) denote the algebra of endomorphisms of \({\mathcal S}(N)\) that commute with ...
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Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
In control theory, researchers need to understand a system’s local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space defined by an ...
Ayala Victor +2 more
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A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups
60 ...
Dymarz, Tullia +2 more
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Fixed point properties of nilpotent and solvable Lie group actions on Hadamard manifolds
10 ...
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On sufficient density conditions for lattice orbits of relative discrete series. [PDF]
Enstad U, van Velthoven JT.
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