The Square-Zero Basis of Matrix Lie Algebras by Raúl Durán Díaz, Víctor Gayoso Martínez, Luis Hernández Encinas, Jaime Muñoz Masqué

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Lie group analysis of the general Karmarkar condition by Sunil D. Maharaj, Noeleen Naidoo, Gareth Amery, Keshlan S. Govinder

“…Abstract The Karmarkar embedding condition in different spherically symmetrical metrics is studied in general using Lie symmetries. In this study, the Lie symmetries for conformally flat and shear-free metrics are studied which extend recent results. …”
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Finely homogeneous computations in free Lie algebras by Philippe Andary

“…We can find an interesting application of this algorithm in control theory, where one wants to compute within the command Lie algebra of a dynamical system (letters are actually vector fields).…”
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Meta-Research Perspectives on Verbal Lie Detection by Galit Nahari

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Lifshitz symmetry: Lie algebras, spacetimes and particles by José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka

“…We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (``particles'') of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator. …”
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On Solvable Lie Algebras of White Noise Operators by Wolfgang Bock, Janeth Canama, Gaudencio Petalcorin

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Double Schubert polynomials for the classical Lie groups by Takeshi Ikeda, Leonardo Mihalcea, Hiroshi Naruse

“…For each infinite series of the classical Lie groups of type $B$, $C$ or $D$, we introduce a family of polynomials parametrized by the elements of the corresponding Weyl group of infinite rank. …”
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Abelian extensions of Lie triple systems with derivations by Xueru Wu, Yao Ma, Liangyun Chen

Subjects: “…lie triple system…”
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Lie Group Methods in Blind Signal Processing by Dariusz Mika, Jerzy Jozwik

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Character bounds for finite groups of Lie type

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Character bounds for finite groups of Lie type by Bezrukavnikov, Roman, Liebeck, Martin W., Shalev, Aner, Tiep, Pham Huu

“…We establish new bounds on character values and character ratios for finite groups G of Lie type, which are considerably stronger than previously known bounds, and which are best possible in many cases. …”
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����/����-graded Lie algebras and perverse sheaves, IV by Lusztig, George, Yun, Zhiwei

“…Let G be a reductive group over C. Assume that the Lie algebra g of G has a given grading (gj ) indexed by a cyclic group Z/m such that g0 contains a Cartan subalgebra of g. …”
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SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS by ELASHVILI, AG, JIBLADZE, M, KAC, VG

“…This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. …”
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Kostant Pairs of Lie Type and Conformal Embeddings by Adamović, D, Kac, VG, Möseneder Frajria, P, Papi, P, Perše, O

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Linear Algebra, Random Matrices and Lie Theory by Jeong, Sungwoo

“…The first part of this thesis focuses on the theory and computation of various Lie groups. The classical Lie groups as well as the automorphism groups of the bilinear and sesquilinear forms are discussed with numerical examples. …”
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Intrinsic nilpotent approximation to filtered lie algebras

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Lie Conformal Algebra Cohomology and the Variational Complex by De Sole, Alberto, Kac, Victor

“…We find an interpretation of the complex of variational calculus in terms of the Lie conformal algebra cohomology theory. This leads to a better understanding of both theories. …”
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On complete reducibility for infinite-dimensional Lie algebras by Gorelik, Maria, Kac, Victor

“…In this paper we study the complete reducibility of representations of infinite- dimensional Lie algebras from the perspective of representation theory of vertex algebras.…”
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Symplectic reflection algebras and affine lie algebras by Etingof, Pavel I.

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Parents with greater religiosity lie less to their children by Setoh, Peipei, Santos, Rachel, Zhao, Siqi, Zhang, Lijun, Heyman, Gail D., Lee, Kang

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