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
doaj +4 more sources
Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2023 Dedicated to Al Farouk School & Kinder garten-Irbid ...
Shadi Shaqaqha, Nadeen Kdaisat
doaj +4 more sources
Observability on the classes of non-nilpotent solvable three-dimensional Lie groups
Open MathematicsIn 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 +5 more sources
Isometries of Almost-Riemannian Structures on Non-nilpotent, Solvable 3D Lie Groups
Journal of Optimization Theory and Applications, 2023 In this paper we prove that automorphisms are the only isometries between rank two Almost-Riemannian Structures on the class of nonnilpotent, solvable, connected 3D Lie groups. As a consequence, a classification result for rank two ARSs on the groups in question is obtained.
Víctor Ayala, Adriano Da Silva
exaly +5 more sources
A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups
Advances in Mathematics60 ...
Tullia Dymarz, Xiangdong Xie
exaly +4 more sources
On polynomial products in nilpotent and solvable Lie groups [PDF]
Proceedings of the American Mathematical Society, 2002 We are dealing with Lie groups G G which are diffeomorphic to
K. Dekimpe
openaire +2 more sources
L[p]-Fourier transforms on nilpotent Lie groups and solvable Lie groups acting on Siegel domains
, 1992 Junko Inoue
semanticscholar +3 more sources
Representation of real solvable Lie algebras having 2-dimensional derived ideal and geometry of coadjoint orbits of corresponding Lie groups [PDF]
Asian-European Journal of Mathematics, 2021 Let [Formula: see text] be the class of all [Formula: see text]-dimensional real solvable Lie algebras having [Formula: see text]-dimensional derived ideals. In 2020, Le et al.
Tu T. C. Nguyen, V. Le
semanticscholar +1 more source
A fibered Tukia theorem for nilpotent Lie groups [PDF]
Annales Fennici Mathematici, 2023 We establish a Tukia-type theorem for uniform quasiconformal groups of a Carnot group. More generally we establish a fiber bundle version (or foliated version) of Tukia theorem for uniform quasiconformal groups of a nilpotent Lie group whose Lie algebra ...
Tullia Dymarz +2 more
semanticscholar +1 more source
Further results on q-Lie groups, q-Lie algebras and q-homogeneous spaces
Special 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