Results 41 to 50 of about 3,875,166 (215)
Extended Riemannian geometry II: local heterotic double field theory
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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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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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.
openaire +2 more sources
Maurer–Cartan Characterization, Cohomology and Deformation of Compatible Lie Yamaguti Algebras
AxiomsThis study aims to generalize the notion of compatible Lie algebras to compatible Lie Yamaguti algebras. Along with describing the representation of the compatible Lie Yamaguti algebra in detail, we also introduce the Maurer–Cartan characterization and ...
Sania Asif +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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The index complex of a maximal subalgebra of a Lie algebra. [PDF]
, 2011 Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A.
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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
doaj +1 more source
On the pre-Lie algebra of specified Feynman graphs [PDF]
Journal of Mathematical Physics, 2019 We study the pre-Lie algebra of specified Feynman graphs ṼT and we define a pre-Lie structure on its doubling space F̃T. We prove that F̃T is pre-Lie module on ṼT and we find some relations between the two pre-Lie structures. Also, we study the enveloping algebras of two pre-Lie algebras denoted respectively by (D′̃T,★,Φ) and (H′̃T,⋆,Ψ) and we prove ...
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On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic. [PDF]
, 2008 This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all restricted Lie algebras over ...
Towers, David A.
core +4 more sources
Advanced Science, EarlyView.The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English +9 more
wiley +1 more source