Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method by Ayman Shehata

“…The object of the present paper is to derive the generating formulae for the Gegenbauer and modified Gegenbauer matrix polynomials by introducing a partial differential operatorand constructing the Lie algebra representation formalism of special linear algebra by using Weisner’s group-theoretic approach. …”
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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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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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The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy by Xia Dong, Tiecheng Xia, Desheng Li

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Rota-Baxter Operators on 3-Dimensional Lie Algebras and the Classical R-Matrices by Linli Wu, Mengping Wang, Yongsheng Cheng

“…Our aim is to classify the Rota-Baxter operators of weight 0 on the 3-dimensional Lie algebra whose derived algebra’s dimension is 2. …”
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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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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…”

Klasifikasi Aljabar Lie Forbenius-Quasi Dari Aljabar Lie Filiform Berdimensi ≤ 5 by Putri Nisa Pratiwi, Edi Kurniadi, Firdaniza Firdaniza

Subjects: “…filiform lie algebra…”
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Differentiation of linear algebras with a unit over a field by A.Ya. Sultanov, M. V. Glebova, G. A. Sultanova

Subjects: “…lie algebra…”
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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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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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Analysis of Higher Overtone Vibrational Frequencies in Cyclohexane Using a Lie Algebraic Approach by J. Vijayasekhar, M.V. Subba Rao, T. Sreenivas

Subjects: “…lie algebraic approach…”
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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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