On the Homomorphisms of the Lie Groups and by Fatma Özdemir, Hasan Özekes

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Para-f-Lie groups by Andrew Bucki

“…Special para-f-structures on Lie groups are studied. It is shown that every para-f-Lie group G is the quotient of the product of an almost product Lie group and a Lie group with trivial para-f-structure by a discrete subgroup.…”
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Differentiable semigroups are Lie groups by John P. Holmes, Mitch Anderson

Subjects: “…Lie groups…”
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Survey on Lie Group Machine Learning by Mei Lu, Fanzhang Li

Subjects: “…lie group machine learning…”
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Lie Group Method of the Diffusion Equations by Jian-Qiang Sun, Rong-Fang Huang, Xiao-Yan Gu, Ling Yu

“…The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. …”
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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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Advances in Lie Groups and Applications in Applied Sciences by Teoman Özer, Alexei F. Cheviakov, Shi Weichen, Nail Migranov, T. Raja Sekhar, Emrullah Yaşar

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Orthogonal Polynomials of Compact Simple Lie Groups by Maryna Nesterenko, Jiří Patera, Agnieszka Tereszkiewicz

“…Recurrence relations are shown for the Lie groups of types A1, A2, A3, C2, C3, G2, and B3 together with lowest polynomials.…”
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General Helices of AW(k)-Type in the Lie Group by Dae Won Yoon

“…We study curves of AW(k)-type in the Lie group G with a bi-invariant metric. Also, we characterize general helices in terms of AW(k)-type curve in the Lie group G.…”
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Sectional and Ricci Curvature for Three-Dimensional Lie Groups by Gerard Thompson, Giriraj Bhattarai

“…Formulas for the Riemann and Ricci curvature tensors of an invariant metric on a Lie group are determined. The results are applied to a systematic study of the curvature properties of invariant metrics on three-dimensional Lie groups. …”
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Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics by Rudolf Schmid

“…We give a review of infinite-dimensional Lie groups and algebras and show some applications and examples in mathematical physics. …”
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Local Convergence of Newton’s Method on Lie Groups and Uniqueness Balls by Jinsu He, Jinhua Wang, Jen-Chih Yao

“…An estimation of uniqueness ball of a zero point of a mapping on Lie group is established. Furthermore, we obtain a unified estimation of radius of convergence ball of Newton’s method on Lie groups under a generalized L-average Lipschitz condition. …”
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Solving Nonlinear Differential Algebraic Equations by an Implicit Lie-Group Method by Chein-Shan Liu

“…We derive an implicit Lie-group algorithm together with the Newton iterative scheme to solve nonlinear differential algebraic equations. …”
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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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Lagrangians, Gauge Functions, and Lie Groups for Semigroup of Second-Order Differential Equations by Z. E. Musielak, N. Davachi, M. Rosario-Franco

“…The previously developed Lie group approach to derive some equations of the semigroup is also described. …”
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Algebraic Structures Based on a Classifying Space of a Compact Lie Group by Dae-Woong Lee

“…We analyze the algebraic structures based on a classifying space of a compact Lie group. We construct the connected graded free Lie algebra structure by considering the rationally nontrivial indecomposable and decomposable generators of homotopy groups and the cohomology cup products, and we show that the homomorphic image of homology generators can be expressed in terms of the Lie brackets in rational homology. …”
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Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions by Motlatsi Molati, Chaudry Masood Khalique

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An Underactuated Drift-Free Left Invariant Control System on a Specific Lie Group by Camelia Pop Arieşanu

“…The paper presents a geometrical overview on an optimal control problem on a special Lie group. The Hamilton-Poisson realization of the dynamics offers us the possibility to study the system from mechanical geometry point of view.…”
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Some generating functions of modified Bessel polynomials from the view point of Lie group by Asit Kumar Chongdar

“…In this paper we have derived a class of bilateral generating relation for modified Bessel polynomials from the view point of Lie group. An application of our theorem is also pointed out.…”
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Permeability Models for Magma Flow through the Earth's Mantle: A Lie Group Analysis by N. Mindu, D. P. Mason

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