Results 31 to 40 of about 2,546 (128)
The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras
Symmetry, Integrability and Geometry: Methods and ApplicationsIn this paper, we develop a method to obtain the algebraic classification of compatible pre-Lie algebras from the classification of pre-Lie algebras of the same dimension. We use this method to obtain the algebraic classification of complex 2-dimensional compatible pre-Lie algebras.
Abdelwahab, Hani +2 more
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Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras
Mathematics OpenIn this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions.
Qinxiu Sun, Weiping Jiao
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Twisting on pre-Lie algebras and quasi-pre-Lie bialgebras
, 2020 26 pages. The idea of this paper is similar to the paper arXiv:1902.03033 submitted by Yunhe Sheng and Rong Tang, and there is text overlap.
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Enveloping algebras of pre-Lie algebras of rooted trees
Confluentes Mathematici, 2022 In this article, we study the insertion pre-Lie algebra of rooted trees ( 𝒯 , ⊳ ) and we construct a pre ...
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Massive bigravity as a presymplectic BV-AKSZ sigma-model
Journal of High Energy PhysicsWe propose a presymplectic BV-AKSZ sigma model encoding the ghost-free massive bigravity theory action as well as its Batalin-Vilkovisky extension in terms of the finite-dimensional graded geometry of the target space.
Maxim Grigoriev, Vyacheslav Gritzaenko
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Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras [PDF]
Pacific Journal of Mathematics, 2016 Expanded result on bicrossproduct construction, added 6D left-covariant differential calculi on $\C[SU_2]\lrbicross U_\lambda(su_2^*)$ as an example, and improved structure of the paper, 40 pages Latex, no ...
Majid, S, Tao, W-Q
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Algebraic approach to Rump’s results on relations between braces and pre-lie algebras [PDF]
Journal of Algebra and Its Applications, 2020 In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right [Formula: see text]-braces and pre-Lie algebras. This correspondence, established using a geometric approach related to flat affine manifolds and affine torsors, works locally. In this paper, we explain Rump’s correspondence using only algebraic formulae.
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On $n$-pre-Lie algebras and dendrification of $n$-Lie algebras
, 2021 The main purpose of this paper is to introduce the notion of $n$-L-dendriform algebra which can be seen as a dendrification of $n$-pre-Lie algebras by means of $\mathcal{O}$-operators. We investigate the representation theory of $n$-pre-Lie algebras and provide some related constructions. Furthermore, we introduce the notion of phase space of a $n$-Lie
Chtioui, Taoufik +3 more
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Machine learning of knot topology in non-Hermitian band braids
Communications PhysicsThe deep connection among braids, knots and topological physics has provided valuable insights into studying topological states in various physical systems. However, identifying distinct braid groups and knot topology embedded in non-Hermitian systems is
Jiangzhi Chen +4 more
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IEEE AccessLiDAR–Inertial Odometry (LIO) can become unreliable in geometrically degenerate environments (e.g., long corridors and tunnels), where point-cloud registration provides weak constraints and certain degrees of freedom become poorly observable ...
Hongjia Wu, Xiangbo Suo, Lu Pan, Li Fan
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