Results 11 to 20 of about 11,203 (263)
Higher-Dimensional Automorphic Lie Algebras. [PDF]
Found Comut Math, 2017 The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Knibbeler V, Lombardo S, Sanders JA.
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New Applications of Graded Lie Algebras to Lie Algebras, Generalized Lie Algebras, and Cohomology
Journal of Lie Theory, 2007 We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $2k$-Lie algebras, generalized Poisson brackets and so on.
Pinczon, Georges, Ushirobira, Rosane
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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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Automorphisms of real Lie algebras of dimension five or less [PDF]
, 2013 The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman +5 more
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Equivalent constructions of nilpotent quadratic Lie algebras [PDF]
, 2022 The double extension and the T*-extension are classical methods for constructing finite dimensional quadratic Lie algebras. The first one gives an inductive classification in characteristic zero, while the latest produces quadratic non-associative ...
Benito, Pilar [0000-0001-8122-6359] +3 more
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Advances in Mathematics, 1984 In 1979, \textit{J. H. Conway} and \textit{S. P. Norton} [Bull. Lond. Math. Soc. 11, 308--339 (1979; Zbl 0424.20010)] conjectured that the existence of the Fischer-Griess ''monster'' or ''friendly giant'' finite simple group \(M\) might be explained by some infinite-dimensional Lie algebra \(L\).
Borcherds, R.E +3 more
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On the Classification of Automorphic Lie Algebras [PDF]
, 2009 The problem of reduction of integrable equations can be formulated in a uniform way using the theory of invariants. This provides a powerful tool of analysis and it opens the road to new applications of Automorphic Lie Algebras, beyond the context of ...
Sanders, Jan +7 more
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Czechoslovak Journal of Physics, 1997 We introduce anyonic Lie algebras in terms of structure constants. We provide the simplest examples and formulate some open problems.
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Archiv der MathematikAbstract In this paper, we investigate the problem of which Lie algebras appear as the derived algebra of a Lie algebra. We present new results that further develop this study and address two questions raised in a paper concerned with the corresponding problem for groups.
Salvatore Siciliano, David A. Towers
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