Results 11 to 20 of about 124,917 (284)
Post-Lie algebra structures for perfect Lie algebras [PDF]
Communications in AlgebraWe study the existence of post-Lie algebra structures on pairs of Lie algebras $(\mathfrak{g},\mathfrak{n})$, where one of the algebras is perfect non-semisimple, and the other one is abelian, nilpotent non-abelian, solvable non-nilpotent, simple, semisimple non-simple, reductive non-semisimple or complete non-perfect.
Burde, Dietrich +2 more
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Extensions of realisations for low-dimensional Lie algebras
SciPost Physics Proceedings, 2023 We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for ...
Iryna Yehorchenko
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On dimension of Lie Algebras and nilpotent Lie algebras [PDF]
Mathematics and Computational Sciences, 2022 Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s
Homayoon Arabyani
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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]
Theoretical and Applied Mechanics, 2020 In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
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Metric Lie 3-algebras in Bagger-Lambert theory [PDF]
, 2008 We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and decoupling of ghosts, the absence of scale and parity invariance, in Lie 3-algebraic terms, thus motivating the study of metric Lie 3-algebras and their Lie algebras ...
de Medeiros, Paul +2 more
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Naturally Graded 2-Filiform Leibniz Algebras [PDF]
, 2010 The Leibniz algebras appear as a generalization of the Lie algebras [8]. The classification of naturally graded p-filiform Lie algebras is known [3], [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz algebras. The study
Camacho Santana, Luisa María +3 more
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Lifshitz symmetry: Lie algebras, spacetimes and particles
SciPost Physics, 2023 We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (``particles'') of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator.
José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka
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Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras [PDF]
, 2010 In this paper we construct ternary $q$-Virasoro-Witt algebras which $q$-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using $su(1,1)$ enveloping algebra techniques.
A Makhlouf +27 more
core +1 more source
On the Lie Enveloping Algebra of a Post-Lie Algebra
Journal of Lie Theory, 2015 25 ...
Ebrahimi-Fard, Kurusch +2 more
openaire +4 more sources