3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras [PDF]
Mathematics, 2022 In this paper, we first introduce the notion of a 3-Hom–Lie bialgebra and give an equivalent description of the 3-Hom–Lie bialgebras, the matched pairs and the Manin triples of 3-Hom–Lie algebras.
Shuangjian Guo +2 more
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Left-symmetric algebras, or pre-Lie algebras in geometry and physics [PDF]
Open Mathematics, 2006 Abstract In this survey article we discuss the origin, theory and applications of left-symmetric algebras (LSAs in short) in geometry in physics. Recently Connes, Kreimer and Kontsevich have introduced LSAs in mathematical physics (QFT and renormalization theory), where the name pre-Lie algebras is used quite often.
Burde Dietrich
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Matching Hom-Setting of Rota-Baxter Algebras, Dendriform Algebras, and Pre-Lie Algebras [PDF]
Advances in Mathematical Physics, 2020 In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras, and matching pre-Lie algebras.
Dan Chen +3 more
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Cohomology and Crossed Modules of Modified Rota–Baxter Pre-Lie Algebras
MathematicsThe goal of the present paper is to provide a cohomology theory and crossed modules of modified Rota–Baxter pre-Lie algebras. We introduce the notion of a modified Rota–Baxter pre-Lie algebra and its bimodule.
Fuyang Zhu, Wen Teng
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On Q-Neutrosophic Soft Fields [PDF]
Neutrosophic Sets and Systems, 2020 As an extension of neutrosophic soft sets, Q-neutrosophic soft sets were established to deal with twodimensional indeterminate data. Different hybrid models of fuzzy sets were utilized to different algebraic structures, for example groups, rings, fields
Majdoleen Abu Qamar +2 more
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Voxel Based Analysis of Surgical Revascularization for Moyamoya Disease: Pre- and Postoperative SPECT Studies. [PDF]
PLoS ONE, 2016 Moyamoya disease (MMD) is a chronic, progressive, cerebrovascular occlusive disease that causes abnormal enlargement of collateral pathways (moyamoya vessels) in the region of the basal ganglia and thalamus.
Yasutaka Fushimi +6 more
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A global approach for image orientation using Lie algebraic rotation averaging and convex L∞ minimisation [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2014 In this paper we present a new global image orientation approach for a set of multiple overlapping images with given homologous point tuples which is based on a two-step procedure.
M. Reich, C. Heipke
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Nonassociative Algebras: A Framework for Differential Geometry
International Journal of Mathematics and Mathematical Sciences, 2003 A nonassociative algebra endowed with a Lie bracket, called a torsion algebra, is viewed as an algebraic analog of a manifold with an affine connection.
Lucian M. Ionescu
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Construction of Hom-pre-Jordan algebras and Hom-J-dendriform algebras
Extracta Mathematicae, 2022 The aim of this work is to introduce and study the notions of Hom-pre-Jordan algebra and Hom-J-dendriform algebra which generalize Hom-Jordan algebras.
T. Chtioui, S. Mabrouk, A. Makhlouf
doaj
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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