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

Subjects: Get full text

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. …”
Get full text

Exploring Roughness in Left Almost Semigroups and Its Connections to Fuzzy Lie Algebras by Abdullah Assiry, Amir Baklouti

Subjects: “…LA-semigroups fuzzy lie algebras…”
Get full text

Symbolic and Iterative Computation of Quasi-Filiform Nilpotent Lie Algebras of Dimension Nine by Mercedes Pérez, Francisco Pérez, Emilio Jiménez

Subjects: “…Lie algebra…”
Get full text

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.…”
Get full text

Study on Poisson Algebra and Automorphism of a Special Class of Solvable Lie Algebras by Demin Yu, Chan Jiang, Jiejing Ma

Subjects: Get full text

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. …”
Get full text

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

Get full text

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

Subjects: Get full text

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

Subjects: Get full text

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

Subjects: Get full text

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

“…The regrasp has not been sufficiently investigated of body coordinate systems in Lie algebra. The reason for this is the difficulty in understanding relative coordinates in Lie algebra via the body coordinate system. …”
Get full text

On the dimension of the product $[L_2,L_2,L_1]$‎ in free Lie algebras by Nil Mansuroğlu

Subjects: “…Free Lie algebra…”
Get full text

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 . …”
Get full text

Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras by Meer Ashwinkumar, Jingnan Cao, Yuan Luo, Meng-Chwan Tan, Qin Zhao

“…The ground states, described by L2-cohomology classes, form modules over an affine Lie algebra, while the left-excited states, described by chiral differential operators, form modules over a toroidal Lie algebra. …”
Get full text

Development of Task-Space Nonholonomic Motion Planning Algorithm Based on Lie-Algebraic Method by Arkadiusz Mielczarek, Ignacy Dulęba

Subjects: Get full text

Minimal Matrix Representations of Decomposable Lie Algebras of Dimension Less Than or Equal to Five by Ryad Ghanam, Manoj Lamichhane, Gerard Thompson

Subjects: “…Lie algebra…”
Get full text

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$ by D.I. Efimov, M.S. Sydorov, K.Ya. Sysak

Subjects: “…lie algebra…”
Get full text