Results 61 to 70 of about 1,211 (118)
On Algebraic Lie Algebras [PDF]
Proceedings of the National Academy of Sciences, 1945 Chevalley, Claude, Tuan, Hsio-Fu
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SEMIPRIME AND NILPOTENT FUZZY LIE ALGEBRAS
Journal of New Theory, 2016 – In this paper, we have introduced the concept of semiprime fuzzy Lie algebra and proved that every fuzzy Lie algebra of semiprime (nilpotent) Lie algebra is a semiprime (nilpotent)
Nour Alhouda Alhayek, Samer Sukkary
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On Inner Derivations of Leibniz Algebras
MathematicsLeibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin +2 more
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The Centroid of a Lie Triple Algebra
Abstract and Applied Analysis, 2013 General results on the centroids of Lie triple algebras are developed. Centroids of the tensor product of a Lie triple algebra and a unitary commutative associative algebra are studied.
Xiaohong Liu, Liangyun Chen
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Algebras of quotients of Lie algebras
Journal of Pure and Applied Algebra, 2004 If \(L\) is a subalgebra of a Lie algebra \(Q\); and if given \(p; q \in Q\) with \(p \not= 0\); there exists \(x \in L\) such that \([x; p] \not= 0\) and \([x; {}_L (q)] \subseteq L\) for \({}_L (q)\) the linear span in \(Q\) of \(q\) and the elements \(\text{ad}x_1 \cdots \text{ad}x_n q\) for \(x_1, \dots, x_n \in L\); then \(Q\) is called an algebra
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On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F).
Mehdi Rafie-Rad, Bahman Rezaei
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Journal of Algebra, 2000 An algebra \(D\) is called third power associative in case \((xx)x=x(xx)\) for all \(x\in D\). The authors describe third power associative multiplications \(*\) on noncentral Lie ideals of prime associative algebras and skew elements of prime algebras with involution provided that \(x*y-y*x=[x,y]\) for all \(x,y\) and the prime algebras in question do
Beidar, K.I., Chebotar, M.A.
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On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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Representations of ω-Lie algebras and tailed derivations of Lie algebras
International Journal of Algebra and Computation, 2020 We study the representation theory of finite-dimensional [Formula: see text]-Lie algebras over the complex field. We derive an [Formula: see text]-Lie version of the classical Lie’s theorem, i.e., any finite-dimensional irreducible module of a soluble [Formula: see text]-Lie algebra is 1-dimensional (1D).
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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