Results 21 to 30 of about 2,546 (128)
Free pre-Lie algebras of finite posets
Journal of Algebra and Its Applications, 2023 We first recall the construction of a twisted pre-Lie algebra structure on the species of finite connected topological spaces. Then, we construct a corresponding non-coassociative permutative (NAP) coproduct on the subspecies of finite connected [Formula: see text] topological spaces, i.e.
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Free Pre-Lie Algebras are Free as Lie Algebras [PDF]
Canadian Mathematical Bulletin, 2010 AbstractWe prove that the -module PreLie is a free Lie algebra in the category of -modules and can therefore be written as the composition of the -module Lie with a new -module X. This implies that free pre-Lie algebras in the category of vector spaces, when considered as Lie algebras, are free on generators that can be described using X.
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Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2023 In this paper, we first define the pre-Lie family algebra associated to a dendriform family algebra in the case of a commutative semigroup. Then we construct a pre-Lie family algebra via typed decorated rooted trees, and we prove the freeness of this pre-Lie family algebra. We also construct pre-Lie family operad in terms of typed labeled rooted trees,
Yuanyuan Zhang, Dominique Manchon
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Burde’s series of simple pre-Lie algebras
São Paulo Journal of Mathematical Sciences, 2023 10 ...
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Algebraic structures of F-manifolds via pre-Lie algebras [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2018 We relate the operad FMan controlling the algebraic structure on the tangent sheaf of an $F$-manifold (weak Frobenius manifold) defined by Hertling and Manin to the operad PreLie of pre-Lie algebras: for the filtration of PreLie by powers of the ideal generated by the Lie bracket, the associated graded object is FMan.
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Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration
Forum of Mathematics, SigmaIn this paper, we introduce the notion of post-Hopf algebroids, generalizing the pre-Hopf algebroids introduced in [8] in the study of exotic aromatic S-series. We construct action post-Hopf algebroids through actions of post-Hopf algebras.
Adrien Busnot Laurent +2 more
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Geodesic path planning characteristics of the reconfigurable 1-S robot workspaces for hyperbolic, elliptical, and Euclidean geometries [PDF]
Archives of Control SciencesThe path-planning strategies are implemented by establishing the Riemann curvature tensor and geodesic equations of the 1-S robot workspace. This paper’s originality lies in formulation of the parametric 1-S robotworkspace for path planning, which is ...
Haydar Sahin
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Structural brain abnormalities in postural tachycardia syndrome: A VBM-DARTEL study
Frontiers in Neuroscience, 2015 Postural tachycardia syndrome (PoTS), a form of dysautonomia, is characterized by orthostatic intolerance, and is frequently accompanied by a range of symptoms including palpitations, lightheadedness, clouding of thought, blurred vision, fatigue, anxiety
Satoshi eUmeda +4 more
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On the Locality of Formal Distributions Over Right-Symmetric and Novikov Algebras
Известия Иркутского государственного университета: Серия "Математика"The Dong Lemma in the theory of vertex algebras states that the locality property of formal distributions over a Lie algebra is preserved under the action of a vertex operator. A similar statement is known for associative algebras.
L. A. Bokut, P. S. Kolesnikov
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Pre-Lie Algebras in Positive Characteristic
Journal of Lie Theory, 2013 In prime characteristic we introduce the notion of restricted pre-Lie algebras. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In particular, we prove that any dendriform algebra over a field of positive characteristic is a restricted pre-Lie algebra.
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