Gelfand―Tsetlin Polytopes and Feigin―Fourier―Littelmann―Vinberg Polytopes as Marked Poset Polytopes by Federico Ardila, Thomas Bliem, Dido Salazar

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Electrical network and Lie theory by Yi Su

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Gray Matter Abnormalities in Non-comorbid Medication-naive Patients with Major Depressive Disorder or Social Anxiety Disorder by Youjin Zhao, Lizhou Chen, Wenjing Zhang, Yuan Xiao, Chandan Shah, Hongru Zhu, Minlan Yuan, Huaiqiang Sun, Qiang Yue, Zhiyun Jia, Wei Zhang, Weihong Kuang, Qiyong Gong, Su Lui

Subjects: “…Diffeomorphic anatomical registration through exponentiated lie algebra (DARTEL)…”
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Gradings, Braidings, Representations, Paraparticles: Some Open Problems by Konstantinos Kanakoglou

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The feasibility of white matter volume reduction analysis using SPM8 plus DARTEL for the diagnosis of patients with clinically diagnosed corticobasal syndrome and Richardson’s synd... by Keita Sakurai, Etsuko Imabayashi, Aya M. Tokumaru, Shin Hasebe, Shigeo Murayama, Satoru Morimoto, Kazutomi Kanemaru, Masaki Takao, Yuta Shibamoto, Noriyuki Matsukawa

Subjects: “…Diffeomorphic anatomical registration through exponentiated lie algebra (DARTEL)…”
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Algebraic loop structures on algebra comultiplications by Lee Dae-Woong

Subjects: “…lie algebra comultiplication…”
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The Leibniz algebras whose subalgebras are ideals by Kurdachenko Leonid A., Semko Nikolai N., Subbotin Igor Ya.

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Affine transformations of the tangent bundle with a complete lift connection over a manifold with a linear connection of special type by A. Sultanov, G. Sultanova

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$q$-Hook formula of Gansner type for a generalized Young diagram by Kento Nakada

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Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review by Ion C. Baianu, James F. Glazebrook, Ronald Brown

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Basic lie theory / by Abbaspour, Hossein, Moskowitz, Martin A.

Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras by Abdulkareem, Abdulafeez Olalekan, Sattarovich, Rakhimov Isamiddin, Said Husain, Sharifah Kartini

“…The class considered here arises from naturally graded filiform Lie algebras. It contains the class of filiform Lie algebras and consequently, by classifying this subclass, we again re-examine the classification result of filiform Lie algebras. …”

T-duality on nilmanifolds by Viviana del Barco, Lino Grama, Leonardo Soriani

“…As an application we deal with the problem of finding symplectic structures on 2-step nilpotent Lie algebras. We also give a criteria for the integrability of the infinitesimal T-duality of Lie algebras to topological T-duality of the associated nilmanifolds.…”
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Classification of a subclass of filiform Leibniz algebra by Abdulkareem, Abdulafeez Olalekan

“…The subclass of filiform Leibniz algebras considered arises from naturally graded filiform Lie algebras. It has been denoted by TLbn in a fixed dimension n. …”
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Quantum Super-Integrable Systems as Exactly Solvable Models by Allan P. Fordy

“…We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. …”
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Feynman graphs, rooted trees, and Ringel-Hall algebras by Kremnizer, K, Szczesny, M

“…We thus obtain an interpretation of the Connes-Kreimer Lie algebras on rooted trees and Feynman graphs as Ringel-Hall Lie algebras.…”

Topics on n-ary Algebraic Structures by J. A. de Azcárraga, J. M. Izquierdo

“…We review the basic definitions and properties of two types of n-ary structures, the Generalized Lie Algebras (GLA) and the Filippov (≡ n-Lie) algebras (FA), as well as those of their Poisson counterparts, the Generalized Poisson (GPS) and Nambu-Poisson (N-P) structures. …”
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The Recursive Forward Dynamics of Flexible Mechanical Systems by Shao Bing, Yuan Entao

“…Lie groups and Lie algebras are used to study the recursive dynamics of flexible multi-body systems. …”
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Gause Symmetry and Howe Duality in 4D Conformal Field Theory Models by I. Todorov

“…Bilocal fields, however, which naturally arise in conformal operator product expansions, do generate infinite Lie algebras. It is demonstrated that these Lie algebras of local observables admit (highly reducible) unitary positive energy representations in a Fock space. …”
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The commutativity degree of 3-engel groups up to order 40 by Zakaria, Mardhiah

“…The origin of this group lies in the theory of Lie algebras. As an example, one of the basic classical results for Engel Lie algebras is Engel’s theorem. …”
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