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Lie group analysis of the general Karmarkar condition
Published 2023-04-01“…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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303
Finely homogeneous computations in free Lie algebras
Published 1997-12-01“…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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304
Meta-Research Perspectives on Verbal Lie Detection
Published 2023-02-01Subjects: Get full text
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305
Lifshitz symmetry: Lie algebras, spacetimes and particles
Published 2023-03-01“…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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306
On Solvable Lie Algebras of White Noise Operators
Published 2022-11-01Subjects: Get full text
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307
Double Schubert polynomials for the classical Lie groups
Published 2008-01-01“…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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308
Abelian extensions of Lie triple systems with derivations
Published 2022-03-01Subjects: “…lie triple system…”
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Character bounds for finite groups of Lie type
Published 2021“…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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312
����/����-graded Lie algebras and perverse sheaves, IV
Published 2021“…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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313
SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS
Published 2021“…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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Linear Algebra, Random Matrices and Lie Theory
Published 2022“…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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Lie Conformal Algebra Cohomology and the Variational Complex
Published 2011“…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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318
On complete reducibility for infinite-dimensional Lie algebras
Published 2011“…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
Published 2013Get full text
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Parents with greater religiosity lie less to their children
Published 2021Subjects: Get full text
Journal Article