Results 41 to 50 of about 1,211 (118)
The Lie Conformal Algebra of a Block Type Lie Algebra [PDF]
Algebra Colloquium, 2015 Let L be a Lie algebra of Block type over ℂ with basis {Lα,i | α,i ∈ ℤ} and brackets [Lα,i,Lβ,j]=(β(i+1)-α(j+1)) Lα+β,i+j. In this paper, we first construct a formal distribution Lie algebra of L. Then we decide its conformal algebra B with ℂ[∂]-basis {Lα(w) | α ∈ ℤ} and λ-brackets [Lα(w)λ Lβ(w)]= (α∂+(α+β)λ) Lα+β(w). Finally, we give a classification
Gao, Ming, Xu, Ying, Yue, Xiaoqing
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THE LEVI DECOMPOSITION OF THE LIE ALGEBRA M_2 (R)⋊gl_2 (R)
BarekengThe idea of the Lie algebra is studied in this research. The decomposition between Levi sub-algebra and the radical can be used to define the finite dimensional Lie algebra. The Levi decomposition is the name for this type of decomposition. The goal of
Edi Kurniadi, Henti Henti, Ema Carnia
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Post-Lie algebra structures for nilpotent Lie algebras [PDF]
International Journal of Algebra and Computation, 2018 We study post-Lie algebra structures on [Formula: see text] for nilpotent Lie algebras. First, we show that if [Formula: see text] is nilpotent such that [Formula: see text], then also [Formula: see text] must be nilpotent, of bounded class. For post-Lie algebra structures [Formula: see text] on pairs of [Formula: see text]-step nilpotent Lie algebras
Dietrich Burde +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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Algebraic loop structures on algebra comultiplications
Open Mathematics, 2019 In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. More specifically, we investigate the fundamental concepts of algebraic loop structures and the set of Lie algebra comultiplications which have inversive ...
Lee Dae-Woong
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Nonassociative Algebras: A Framework for Differential Geometry
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
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Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
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Algebraic Lie Algebra Bundles and Derivations of Lie Algebra Bundles
International Electronic Journal of AlgebraIn this paper, we define algebraic Lie algebra bundles, discuss some results on algebraic Lie algebra bundles and derivations of Lie algebra bundles. Some results involving inner derivations and central derivations of Lie algebra bundles are obtained.
MONİCA, M. V., RAJENDRA, R
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Differentiation of linear algebras with a unit over a field
Дифференциальная геометрия многообразий фигур, 2023 Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov +2 more
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Hom-Lie algebra structure on electrical Lie algebra of type D5
上海师范大学学报. 自然科学版We study the Hom-Lie algebra structure on the electrical Lie algebra of type D5 in this paper. By using Lie bracket,σ-twisted Jacobi identity and the property of σ as a homomorphism,we prove that the Hom-Lie algebra structure on the electrical ...
ZHOU Shiyin, SHEN Ran, ZHANG Jian'gang
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