Results 1 to 10 of about 1,839,776 (203)
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
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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
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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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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, Y. Sheng, Rong Tang
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Computing the index of Lie algebras; pp. 265–271 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 The aim of this paper is to compute and discuss the index of Lie algebras. We consider the n-dimensional Lie algebras for n lt; 5 and the case of filiform Lie algebras which form a special class of nilpotent Lie algebras.
Hadjer Adimi, Abdenacer Makhlouf
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Lie algebras with differential operators of any weights
Electronic Research Archive, 2023 In this paper, we define a cohomology theory for differential Lie algebras of any weight. As applications of the cohomology, we study abelian extensions and formal deformations of differential Lie algebras of any weight.
Yizheng Li, Dingguo Wang
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Formalising lie algebras [PDF]
Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2022 12 pages, 1 figure, to appear in CPP ...
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Nijenhuis operators on pre-Lie algebras [PDF]
Communications in Contemporary Mathematics, 2017 First we use a new approach to define a graded Lie algebra whose Maurer–Cartan elements characterize pre-Lie algebra structures. Then using this graded Lie bracket, we define the notion of a Nijenhuis operator on a pre-Lie algebra which generates a ...
Qi Wang, C. Bai, Jiefeng Liu, Y. Sheng
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Bialgebras, the classical Yang–Baxter equation and Manin triples for 3-Lie algebras [PDF]
Advances in Theoretical and Mathematical Physics, 2016 This paper studies two types of 3-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycles and double constructions respectively, and are therefore called the local cocycle 3-Lie bialgebra ...
C. Bai, Li Guo, Y. Sheng
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Locally conformally balanced metrics on almost abelian Lie algebras
Complex Manifolds, 2021 We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
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