The Lie Group in Infinite Dimension by V. Tryhuk, V. Chrastinová, O. Dlouhý

“…A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem). …”
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Reduction of Dynamics with Lie Group Analysis by M. Iwasa

“…This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. …”
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From homogeneous metric spaces to Lie groups by Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro

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Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness by Fu-zhi Li, Jia-li Yu, Yang-rong Li, Gan-shan Yang

“…Based on classical Lie Group method, we construct a class of explicit solutions of two-dimensional ideal incompressible magnetohydrodynamics (MHD) equation by its infinitesimal generator. …”
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Intrinsic Optimal Control for Mechanical Systems on Lie Group by Chao Liu, Shengjing Tang, Jie Guo

“…With geodesic distance and Riemann metric on Lie group integrated into the cost function, a dynamic programming approach is employed and an analytical solution of the optimal problem on Lie group is obtained via the Hamilton-Jacobi-Bellman equation. …”
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Fourier transforms of Lipschitz functions on certain Lie groups by M. S. Younis

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Lie Groups Analysis and Contact Transformations for Ito System by M. M. Al-Shomrani

“…New classes of exact invariant solutions by using Lie group analysis are obtained. Moreover, we investigate the existence of a one-parameter group of contact transformations for a generalized Ito system. …”
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the coincidence lefschetz number for self-maps of lie groups by Baghdad Science Journal

“…It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, for each positive integer k , we associate an integer with fk,hi . …”
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Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups by Guorong Hu

“…Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition. …”
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Controllability of affine control systems on graded Lie groups by MEMET KULE

“…This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector fields of theinduced invariant system generate free nilpotent Lie algebra.…”
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Lie Group Analysis of a Flow with Contaminant-Modified Viscosity by Raseelo J. Moitsheki

“…A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term. …”
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Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization by Hartmut Führ, Azita Mayeli

“…We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems. …”
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Boundary Layer Equations and Lie Group Analysis of a Sisko Fluid by Gözde Sarı, Mehmet Pakdemirli, Tasawar Hayat, Yiğit Aksoy

“…Boundary layer equations are derived for the Sisko fluid. Using Lie group theory, a symmetry analysis of the equations is performed. …”
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Sub-Lorentzian Geometry of Curves and Surfaces in a Lorentzian Lie Group by Haiming Liu, Jianyun Guan

“…We consider the sub-Lorentzian geometry of curves and surfaces in the Lie group E1,1. Firstly, as an application of Riemannian approximants scheme, we give the definition of Lorentzian approximants scheme for E1,1 which is a sequence of Lorentzian manifolds denoted by Eλ1,λ2L. …”
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On the Use of Lie Group Homomorphisms for Treating Similarity Transformations in Nonadiabatic Photochemistry by Benjamin Lasorne

“…A formulation based on Lie group homomorphisms is presented for simplifying the treatment of unitary similarity transformations of Hamiltonian matrices in nonadiabatic photochemistry. …”
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Lie groups and continuum mechanics: where do we stand today? by de Saxcé, Géry, Razafindralandy, Dina

Subjects: “…Lie groups…”
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Uniform boundedness and compactness for the commutator of an extension of Riesz transform on stratified Lie groups by Han Xueting, Chen Yanping

Subjects: “…stratified lie groups…”
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On Surfaces of Exceptional Lorentzian Lie Groups with a Four-Dimensional Isometry Group by Giovanni Calvaruso, Lorenzo Pellegrino

Subjects: “…Lorentzian Lie groups…”
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Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups by Milad Zeinali Laki, Dariush Latifi

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An Lp−Lq version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups by S. Ben Farah, K. Mokni, K. Trimèche

“…We consider a real semisimple Lie group G with finite center and K a maximal compact subgroup of G. …”
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