Results 1 to 10 of about 81 (79)

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   +3 more sources

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

Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces

open access: yesSpecial Matrices, 2021
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
doaj   +1 more source

On polynomial products in nilpotent and solvable Lie groups [PDF]

open access: yesProceedings of the American Mathematical Society, 2002
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 ...
openaire   +1 more source

Lp-Fourier transforms on nilpotent Lie groups and solvable Lie groups acting on Siegel domains [PDF]

open access: yesPacific Journal of Mathematics, 1992
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.
openaire   +2 more sources

Bi-invariant Schwartz multipliers and local solvability on nilpotent Lie groups [PDF]

open access: yesBulletin of the American Mathematical Society, 1988
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 ...
openaire   +2 more sources

Observability on the classes of non-nilpotent solvable three-dimensional Lie groups

open access: yesOpen Mathematics
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
doaj   +1 more source

A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups

open access: yesAdvances in Mathematics
60 ...
Dymarz, Tullia   +2 more
openaire   +2 more sources

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