Results 1 to 10 of about 277 (187)
On dimension of Lie Algebras and nilpotent Lie algebras [PDF]
Mathematics and Computational Sciences, 2022 Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s
Homayoon Arabyani
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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 classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4. Design/methodology/approach – By dividing a nilpotent (n+6)-dimensional n-Lie algebra of class 2 by a central element ...
Mehdi Jamshidi +2 more
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Gradings for Nilpotent Lie Algebras
Journal of Lie Theory, 2022 We present a constructive approach to torsion-free gradings of Lie algebras. Our main result is the computation of a maximal grading. Given a Lie algebra, using its maximal grading we enumerate all of its torsion-free gradings as well as its positive gradings.
Hakavuori, Eero +3 more
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Nilpotent Lie and Leibniz Algebras [PDF]
Communications in Algebra, 2014 We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.
Ray, Chelsie Batten +5 more
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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
Jambura Journal of Mathematics, 2023 The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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On Properties of Five-dimensional Nonstandard Filiform Lie algebra
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra +2 more
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On isoclinic extensions of Lie algebras and Nilpotent Lie algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper, we present the concept of isoclinism of Lie algebras and its relationship to the Schur multiplier of Lie algebras. Moreover, we prove some properties of a pair of nilpotent Lie algebras.
Arabyani Homayoon +1 more
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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Nilpotent Lie algebras of derivations with the center of small corank
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $\mathbb K$ be a field of characteristic zero, $A$ be an integral domain over $\mathbb K$ with the field of fractions $R=Frac(A),$ and $Der_{\mathbb K}A$ be the Lie algebra of all $\mathbb K$-derivations on $A$. Let $W(A):=RDer_{\mathbb K} A$ and $L$
Y.Y. Chapovskyi +2 more
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