Some generating functions of modifed Bessel polynomials from the view point of Lie group by Asit Kumar Chongdar

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The Higher Order Riesz Transform and BMO Type Space Associated with Schrödinger Operators on Stratified Lie Groups by Yu Liu, Jianfeng Dong

“…Assume that G is a stratified Lie group and Q is the homogeneous dimension of G. …”
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Dynamic Modelling and Continuous Trajectory Tracking Control of Space Robots Based on Lie Group SE(3) by Yong Wang, Kejie Gong, Yurui Duan, Boyong He, Hong Ma

“…Firstly, the dynamics equations for a space robot in the joint space and workspace are established separately in the framework of Lie group SE(3) and screw theory based on the Lagrange principle. …”
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Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid by M. B. Akgül, G. Sarı, M. Pakdemirli

“…The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. …”
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Invariant Inhomogeneous Bianchi Type-I Cosmological Models with Electromagnetic Fields Using Lie Group Analysis in Lyra Geometry by Ahmad T. Ali

“…We find a new class of invariant inhomogeneous Bianchi type-I cosmological models in electromagnetic field with variable magnetic permeability. For this, Lie group analysis method is used to identify the generators that leave the given system of nonlinear partial differential equations (NLPDEs) (Einstein field equations) invariant. …”
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Structured Dynamics in the Algorithmic Agent by Giulio Ruffini, Francesca Castaldo, Jakub Vohryzek

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On G-finitistic spaces and related notions by Satya Deo, Janak Singh Andotra

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Experimental implementation of a non-ideal three-waveplate array as a polarization disturbance corrector by J.A. Jiménez-Arias, M. Vázquez-Ibarra, S.A. Salazar-Altamirano, P. Moreno-Martínez, J.M. López-Romero, K. Jiménez-García, N.V. Corzo

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Conservation Laws and Exact Solutions for a Reaction-Diffusion Equation with a Variable Coefficient by Zhijie Cao, Yiping Lin

“…We classify the equation into three kinds by different restraints imposed on the variable coefficient b(x) in the process of solving the determining equations of Lie groups. Then, for each kind, the conservation laws corresponding to the symmetries obtained are considered. …”
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Stochastic processes on totally disconnected topological groups by S. V. Ludkovsky

“…In addition, stochastic processes on general Banach-Lie groups, loop monoids, loop spaces, and path spaces of manifolds on Banach spaces over non-Archimedean local fields are also investigated.…”
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Sphere quantization of Higgs and Coulomb branches and Analytic Symplectic Duality by Davide Gaiotto

“…In particular, the protected correlation functions in the class of theories denoted as T[G] are naturally related to the theory of unitary representations of complex or real semi-simple Lie groups.…”
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Solving Quantum Dynamics with a Lie-Algebra Decoupling Method by Sofia Qvarfort, Igor Pikovski

“…As background, we include an overview of Lie groups and Lie algebras aimed at a general-physicist audience. …”
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Multiple Nonlinear Oscillations in a 𝔻3×𝔻3-Symmetrical Coupled System of Identical Cells with Delays by Haijun Hu, Li Liu, Jie Mao

“…We also investigate the simultaneous occurrence of multiple periodic solutions and spatiotemporal patterns of the bifurcating periodic oscillations by using the equivariant bifurcation theory of delay differential equations combined with representation theory of Lie groups. Numerical simulations are carried out to illustrate our theoretical results.…”
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Z2×Z3 Equivariant Bifurcation in Coupled Two Neural Network Rings by Baodong Zheng, Haidong Yin

“…We discuss the spatiotemporal patterns of bifurcating periodic oscillations by using the symmetric bifurcation theory of delay differential equations combined with representation theory of Lie groups. The existence of multiple branches of bifurcating periodic solution is obtained. …”
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Entanglement asymmetry and symmetry defects in boundary conformal field theory by Yuya Kusuki, Sara Murciano, Hirosi Ooguri, Sridip Pal

“…By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. Beyond the leading order term, we also compute the subleading corrections in the subsystem size, highlighting their dependence on the symmetry group G and the BCFT operator content. …”
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Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation by Hongwei Yang, Yunlong Shi, Baoshu Yin, Huanhe Dong

“…We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. …”
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An introduction to spherical orbit spaces by Jill Mcgowan, Catherine Searle

“…Consider a compact, connected Lie group G acting isometrically on a sphere Sn of radius 1. …”
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Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation by Khadijo Rashid Adem, Chaudry Masood Khalique

“…We first obtain exact solutions of this equation using the Lie group analysis and the simplest equation method. …”
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Remarks on Almost Cosymplectic 3-Manifolds with RICCI Operators by Quanxiang Pan, Yajie Wang

“…In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. …”
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A Class of PDEs with Nonlinear Superposition Principles by Li Peng, Liu Keying, Pan Zuliang, Zhong Weizhou

“…Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. …”
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