Classification of Filiform Lie Algebras up to dimension 7 Over Finite Fields by Falcón Óscar J., Falcón Raúl M., Núñez Juan, Pacheco Ana M., Villar M. Trinidad

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On the UV/IR mixing of Lie algebra-type noncommutatitive ϕ 4-theories by Kilian Hersent

“…Abstract We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a ϕ 4-theory on a generic Lie algebra-type noncommutative space-time. The UV/IR mixing is defined as a UV divergence of the planar contribution and an IR singularity of the non-planar contribution, the latter being due to the former UV divergence, and the UV finiteness of the non-planar contribution. …”
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Branching Functions for Admissible Representations of Affine Lie Algebras and Super-Virasoro Algebras by Namhee Kwon

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Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus by Palle Jorgensen, Feng Tian

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Baker–Campbell–Hausdorff–Dynkin Formula for the Lie Algebra of Rigid Body Displacements by Daniel Condurache, Ioan-Adrian Ciureanu

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Modelling Oil Price with Lie Algebras and Long Short-Term Memory Networks by Melike Bildirici, Nilgun Guler Bayazit, Yasemen Ucan

“…The models on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>S</mi><mn>2</mn></msup></mrow></semantics></math></inline-formula> manifolds that we consider, including the reference ones, employ matrix representations rather than differential operator representations of Lie algebras. Firstly, the performance of Lie_NLS model is examined in comparison to the Lie-OLS model. …”
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Exploring Roughness in Left Almost Semigroups and Its Connections to Fuzzy Lie Algebras by Abdullah Assiry, Amir Baklouti

Subjects: “…LA-semigroups fuzzy lie algebras…”
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Symbolic and Iterative Computation of Quasi-Filiform Nilpotent Lie Algebras of Dimension Nine by Mercedes Pérez, Francisco Pérez, Emilio Jiménez

Subjects: “…Lie algebra…”
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ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE by FRANCIS BROWN

“…We write down explicit formulae for zeta elements $\unicode[STIX]{x1D70E}_{2n-1}$ (generators of the Tannaka Lie algebra of the category of mixed Tate motives over $\mathbb{Z}$ ) in depths up to four, give applications to the Broadhurst–Kreimer conjecture, and solve the double shuffle equations for multiple zeta values in depths two and three.…”
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Study on Poisson Algebra and Automorphism of a Special Class of Solvable Lie Algebras by Demin Yu, Chan Jiang, Jiejing Ma

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A free Lie algebra approach to curvature corrections to flat space-time by Joaquim Gomis, Axel Kleinschmidt, Diederik Roest, Patricio Salgado-Rebolledo

“…The Poincaré algebra is extended to a free Lie algebra, with generalised boosts and translations that no longer commute. …”
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Zeta elements in depth 3 and the fundamental Lie algebra of the infinitesimal Tate curve by Brown, F

“…We write down explicit formulae for zeta elements $\sigma_{2n-1}$ (generators of the Tannaka Lie algebra of the category of mixed Tate motives over $\mathbb{Z}$) in depths up to four, give applications to the Broadhurst-Kreimer conjecture, and completely solve the double shuffle equations for multiple zeta values in depths two and three…”

Structural data and invariants of nine dimensional real Lie algebras with nontrivial Levi decomposition / by 503926 Campoamor-Stursberg, R.

Subjects: “…Lie algebras…”

Generalized method of Lie-algebraic discrete approximations for solving Cauchy problems with evolution equation by Arkadii Kindybaliuk

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Low Dimensional Vessiot-Guldberg-Lie Algebras of Second-Order Ordinary Differential Equations by Rutwig Campoamor-Stursberg

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Invariance and Ibragimov approach with Lie algebra of a nonlinear coupled elastic wave system by Muhammad Usman, Akhtar Hussain, F.D. Zaman

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The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations by O.Ye. Hentosh, A.A. Balinsky, A.K. Prykarpatski

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Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor by Haydar Sahin

“…This study in grasping focuses on differential geometry analysis utilizing the Lie algebra, geodesic, and Riemann Curvature Tensors (RCT). …”
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On the dimension of the product $[L_2,L_2,L_1]$‎ in free Lie algebras by Nil Mansuroğlu

Subjects: “…Free Lie algebra…”
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On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra by V. D. Ivashchuk

“…Abstract A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $$\mathcal G$$ G is considered. The solution contains a metric, n Abelian 2-forms and n scalar fields, where n is the rank of $$\mathcal G$$ G . …”
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