Results 11 to 20 of about 2,410,088 (276)
Elementary Lie algebras and Lie A-algebras [PDF]
Journal of Algebra, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towers, David A., Varea, Vicente R.
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Lifshitz symmetry: Lie algebras, spacetimes and particles [PDF]
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
doaj +2 more sources
Post-Lie algebra structures for perfect Lie algebras [PDF]
Communications in Algebra, 2023 We study the existence of post-Lie algebra structures on pairs of Lie algebras (g,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 ...
D. Burde, K. Dekimpe, Mina Monadjem
semanticscholar +7 more sources
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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On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The purpose of this paper is to determine the structure of nilpotent (n+6)-dimensional n-Lie algebras of class 2 when n≥4. Design/methodology/approach – By dividing a nilpotent (n+6)-dimensional n-Lie algebra of class 2 by a central element ...
Mehdi Jamshidi +2 more
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Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras [PDF]
Journal of Algebra, 2022 Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebrasWe introduce the notion of anti-pre-Lie algebras as the underlying algebraic structures of nondegenerate commutative 2-cocycles which are the"symmetric"version of ...
Gui-Lai Liu, Cheng-Ming Bai
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Factorizable Lie Bialgebras, Quadratic Rota–Baxter Lie Algebras and Rota–Baxter Lie Bialgebras [PDF]
Communications in Mathematical Physics, 2021 In this paper, first we introduce the notion of quadratic Rota–Baxter Lie algebras of arbitrary weight, and show that there is a one-to-one correspondence between factorizable Lie bialgebras and quadratic Rota–Baxter Lie algebras of nonzero weight.
H. Lang, Yunhe Sheng
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
core +4 more sources
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras [PDF]
Journal of Algebra, 2020 We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra.
Cheng-Ming Bai +3 more
semanticscholar +1 more source
Deformations and Homotopy Theory of Relative Rota–Baxter Lie Algebras [PDF]
Communications in Mathematical Physics, 2020 We determine the L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_ ...
A. Lazarev, Yunhe Sheng, Rong Tang
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