Isomorphism of Intransitive Linear Lie Equations by Jose Miguel Martins Veloso

“…Also, we associate an intransitive Lie algebra with each intransitive linear Lie equation, and from the intransitive Lie algebra we recover the linear Lie equation, unless of formal isomorphism. …”
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Conformal Embeddings and Simple Current Extensions by Frajria, Pierluigi Möseneder, Papi, Paolo, Xu, Feng, Kac, Victor

“…In this paper, we investigate the structure of intermediate vertex algebras associated with a maximal conformal embedding of a reductive Lie algebra in a semisimple Lie algebra of classical type.…”
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Prime ideals in noncommutative Iwasawa algebras by Ardakov, K

“…We study the prime ideal structure of the Iwasawa algebra ΛG of an almost simple compact p-adic Lie group G. When the Lie algebra of G contains a copy of the two-dimensional non-abelian Lie algebra, we show that the prime ideal structure of ΛG is somewhat restricted. …”

Locally conformal symplectic structures and their generalizations from the point of view of Lie algebroids by Roman Kadobianski, Jan Kubarski

“…We generalize l.c.s. structures to $frak{g}$-l.c.s. structures in which we can consider an arbitrary finite dimensional Lie algebra $frak{g}$ instead of the commutative Lie algebra $mathbb{R}$.…”
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Depth-graded motivic multiple zeta values by Brown, F

“…We formulate a single conjecture about the homology of this Lie algebra which implies conjectures due to Broadhurst and Kreimer, Racinet, Zagier, and Drinfeld on the structure of multiple zeta values and on the Grothendieck–Teichmüller Lie algebra.…”

Formality in generalized Kähler geometry by Cavalcanti, G

“…We prove that no nilpotent Lie algebra admits an invariant generalized Kahler structure. …”

Spacetime Metrics from Gauge Potentials by Ettore Minguzzi

“…I present an approach to gravity in which the spacetime metric is constructed from a non-Abelian gauge potential with values in the Lie algebra of the group U(2) (or the Lie algebra of quaternions). …”
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Rational structures on multiple zeta values by Keilthy, A

“…By considering the associated graded Lie algebra of the motivic Lie algebra with respect to this filtration, we obtain an isomorphic Lie algebra bg with canonical representatives for its generators in Q<e₀,e₁>. …”

Symmetries of the Energy–Momentum Tensor for Static Plane Symmetric Spacetimes by Fawad Khan, Wajid Ullah, Tahir Hussain, Wojciech Sumelka

“…For the case of a degenerate energy–momentum tensor, we employ a direct integration technique to solve the MC equations, which leads to an infinite-dimensional Lie algebra. On the other hand, when considering the nondegenerate energy–momentum tensor, the contravariant form results in a finite-dimensional Lie algebra with dimensions of either 4 or 10. …”
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On the Lie structure of locally matrix algebras by O. Bezushchak

“….$ We find a necessary and sufficient condition for the Lie algebra $A\diagup\mathbb{F}\cdot 1$ to be simple and for the Lie algebra of derivations $\text{Der}(A)$ to be topologically simple. …”
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SW1+∞ symmetries of N = 2 supersymmetric CKP hierarchy and its multicomponent generalization by Chuanzhong Li

“…These additional flows constitute a C type SW1+∞ Lie algebra. Further we generalize the N=2 SCKP hierarchy to a N=2 supersymmetric multi-component CKP hierarchy equipped with a C type ⨂SW1+∞ Lie algebra.…”
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Semilinear automorphisms of classical groups and quivers by Yang, Jinwei, Yun, Zhiwei

“…More precise classification is given when g is a loop Lie algebra, i.e., when F = ℂ((t)).…”
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Nonexistence of reflexive ideals in Iwasawa algebras of Chevalley type by Ardakov, K, Wei, F, Zhang, J

“…Let $\Phi$ be a root system and let $\Phi(\Zp)$ be the standard Chevalley $\Zp$-Lie algebra associated to $\Phi$. For any integer $t\geq 1$, let $G$ be the uniform pro-$p$ group corresponding to the powerful Lie algebra $p^t \Phi(\Zp)$ and suppose that $p\geq 5$. …”

Algebraic representation of three qubit quantum circuit problems by Chew, K. Y., Shah, N. M., Chan, K. T.

“…To carry out such a study, mathematical tools such as the Lie group and their associated Lie algebra is of great importance. In this study, the Lie algebra of su(8) is represented in a tensor product operation between three Pauli matrices. …”
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On isomorphism criteria for Leibniz central extensions of a linear deformation of mu_n. by Sattarovich, Rakhimov Isamiddin, Hassan, Munther A.

“…This paper deals with the classification problems of Leibniz central extensions of linear deformations of a Lie algebra. It is known that any n-dimensional filiform Lie algebra can be represented as a linear deformation of n-dimensional filiform Lie algebra μ n given by the brackets [e i, e 0] = e i+1, i = 0,1,⋯,n-2, in a basis {e 0, e 1,⋯,e n-1}. …”
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On Representations of sl(n, C) Compatible with a Z2-grading by M. Havlíček, E. Pelantová, J. Tolar

“…<p>This paper extends existing Lie algebra representation theory related to Lie algebra gradings. …”
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A Novel Coarse Alignment Method for SINS Using Special Orthogonal Group Optimal Estimation by Fujun Pei, Yang Su, Desen Zhu, Shunan Yin

“…Second is that a novel optimal estimation method is developed by using the exact error Lie algebra, which is calculated based on the physical definition of Lie algebra, as the innovation term to compensate the initial special orthogonal group in the estimation process. …”
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Motivic coaction and single-valued map of polylogarithms from zeta generators by Frost, H, Hidding, M, Kamlesh, D, Rodriguez, C, Schlotterer, O, Verbeek, B

“…We introduce a new Lie-algebraic approach to explicitly construct the motivic coaction and single-valued map of multiple polylogarithms in any number of variables. …”

An algebraic classification of solution generating techniques by Riccardo Borsato, Sibylle Driezen, Falk Hassler

“…Starting from our master equation — that encodes all the possible continuous deformations allowed in the family of solution-generating techniques — we show that these are classified by the Lie algebra cohomologies H2(h,R) and H3(h,R) of the maximally isotropic subalgebra h of the double Lie algebra d. …”
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N = 2 supersymmetric BKP hierarchy with SW1+∞ symmetries and its multicomponent generalization by Chuanzhong Li

“…These additional flows constitute an interesting B type SW1+∞ Lie algebra. Further we generalize the N=2 SBKP hierarchy to a N=2 supersymmetric multi-component BKP hierarchy equipped with a B type ⨂SW1+∞ Lie algebra. …”
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