Results 21 to 30 of about 1,705,638 (353)
An atavistic Lie algebra [PDF]
Physics Letters B, 2006 An infinite-dimensional Lie Algebra is proposed which includes, in its subalgebras and limits, most Lie Algebras routinely utilized in physics. It relies on the finite oscillator Lie group, and appears applicable to twisted noncommutative QFT and CFT.
Fairlie, D. B., Zachos, C. K.
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Geometrical aspects of the Lie algebra S-expansion procedure [PDF]
, 2016 In this article it is shown that S-expansion procedure affects the geometry of a Lie group, changing it and leading us to the geometry of another Lie group with higher dimensionality.
M. Artebani +4 more
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Levi Decomposition of Frobenius Lie Algebra of Dimension 6
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2022 In this paper, we study notion of the Lie algebra of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
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Elementary Lie algebras and Lie A-algebras
Journal of Algebra, 2007 AbstractA finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of elementary Lie algebras.
Towers, David A., Varea, Vicente R.
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Color Lie algebras and Lie algebras of order F [PDF]
Journal of Generalized Lie Theory and Applications, 2009 The notion of color algebras is generalized to the class of F-ary algebras, and corresponding decoloration theorems are established. This is used to give a construction of colored structures by means of tensor products with Clifford-like algebras. It is moreover shown that color algebras admit realisations as q=0 quon algebras.
CAMPOAMOR-STURSBERG, R. +1 more
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 2023 In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
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Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
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Algebra of derivations of Lie algebras
Linear Algebra and its Applications, 2001 Junta de Andalucía FQM ...
Camacho Santana, Luisa María +2 more
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Forum of Mathematics, Pi, 2023 Abstract We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations lying in the centre.
Kupers, A, Randal-Williams, O
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