Results 61 to 70 of about 297,928 (181)
Isomorphism of Intransitive Linear Lie Equations
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems.
Jose Miguel Martins Veloso
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Nuclear Physics B, 2020 We prove that with a (2+1)-dimensional Toda type system are associated algebraic skeletons which are (compatible assemblings) of particle-like Lie algebras of dyons and triadons type.
Marcella Palese, Ekkehart Winterroth
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Linear Algebra and its Applications, 1984 Let k be a field of characteristic not equal to 2, and let L be a finite field extension of k. Then a Lie algebra G is quaternionic if there is a quaternion division algebra Q over L such that G is isomorphic to the k- Lie-algebra \(Q^-/L1\). The main theorem of the paper gives equivalent conditions for a finite-dimensional Lie algebra over a perfect ...
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The Lie Algebra of Smooth Sections of a T-bundle
International Journal of Industrial Engineering and Production Research, 2006 In this article, we generalize the concept of the Lie algebra of vector fields to the set of smooth sections of a T-bundle which is by definition a canonical generalization of the concept of a tangent bundle.
M. Nadjafikhah, H. R. Salimi Moghaddam
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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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Note on algebraic Lie algebras [PDF]
Proceedings of the American Mathematical Society, 1971 It is shown that, over an algebraically closed field of characteristic 0, the isomorphism classes of algebraic Lie algebras are in bijective correspondence with the isomorphism classes of affine algebraic groups with unipotent centers. A Lie algebra is said to be algebraic if it is isomorphic with the Lie algebra of an affine algebraic group.
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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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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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Exploring exceptional Drinfeld geometries
Journal of High Energy Physics, 2020 We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T ...
Chris D. A. Blair +2 more
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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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