Results 101 to 110 of about 1,969,963 (254)
The Lie algebra of a smooth manifold
, 1954 It is well known that certain topological spaces are determined by rings of continuous real functions defined over them [1; 2; 3],1 and for differentiable manifolds the functions may be differen tiable [4; 7].
M. Shanks, L. E. Pursell
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Algebras of quotients of Lie algebras [PDF]
Journal of Pure and Applied Algebra, 2004 AbstractIn this paper we introduce the notion of algebra of quotients of a Lie algebra. Properties such as semiprimeness, primeness or nondegeneracy can be lifted from a Lie algebra to its algebras of quotients. We construct a maximal algebra of quotients for every semiprime Lie algebra and give a Passman-like characterization of this (unique) maximal ...
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Cohomologies of a Lie algebra with a derivation and applications [PDF]
Journal of Algebra, 2019 Rong Tang, Yael Fregier, Y. Sheng
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On the algebraic hull of a Lie algebra [PDF]
Proceedings of the American Mathematical Society, 1960 Let F be a field of characteristic 0, and let V be a finite dimensional vector space over F. Let E denote the algebra of all endomorphisms of V, and let L be any Lie subalgebra of E. Among the algebraic Lie algebras contained in E and containing L, there is one that is contained in all of them, and this is called the algebraic hull of L in E.
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Journal of Algebra, 2003 By analogy with the definition of group with triality we introduce Lie algebra with triality as Lie algebra L wich admits the group of automorphisms S_3={s,r | s^2=r^3=1, srs=r^2} such that for any x\in L we have (x^s-x)+(x^s-x)^r+(x^s-x)^(r^2)=0. We describe the structure of finite dimensional Lie algebra with triality over a field of characteristic 0
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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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AIMS MathematicsIn this paper, we consider the symmetry algebra of the geodesic equations of the canonical connection on a Lie group. We mainly consider the solvable indecomposable six-dimensional Lie algebras with co-dimension two abelian nilradical that have an ...
Nouf Almutiben +3 more
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On Algebraic Lie Algebras [PDF]
Proceedings of the National Academy of Sciences, 1945 Hsio-Fu Tuan, Claude Chevalley
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