Results 41 to 50 of about 519,562 (333)

Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras

open access: yesJournal of Mathematics, 2023
In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
doaj   +1 more source

Lie algebraic Carroll/Galilei duality [PDF]

open access: yes, 2022
We characterise Lie groups with bi-invariant bargmannian, galilean or carrollian structures. Localising at the identity, we show that Lie algebras with ad-invariant bargmannian, carrollian or galilean structures are actually determined by the same data: a metric Lie algebra with a skew-symmetric derivation.
arxiv   +1 more source

Struktur Simplektik pada Aljabar Lie Affine aff(2,R)

open access: yesJambura Journal of Mathematics
In this research, we studied the affine Lie algebra aff(2,R). The aim of this research is to determine the 1-form in affine Lie algebra aff(2,R) which is associated with its symplectic structure so that affine Lie algebra aff(2,R) is a Frobenius Lie ...
Aurillya Queency   +2 more
doaj   +1 more source

Hom-structures on semi-simple Lie algebras

open access: yesOpen Mathematics, 2015
A Hom-structure on a Lie algebra (g,[,]) is a linear map σ W g σ g which satisfies the Hom-Jacobi identity: [σ(x), [y,z]] + [σ(y), [z,x]] + [σ(z),[x,y]] = 0 for all x; y; z ∈ g. A Hom-structure is referred to as multiplicative if it is also a Lie algebra
Xie Wenjuan, Jin Quanqin, Liu Wende
doaj   +1 more source

THE NON-DEGENERACY OF THE SKEW-SYMMETRIC BILINEAR FORM OF THE FINITE DIMENSIONAL REAL FROBENIUS LIE ALGEBRA

open access: yesBarekeng, 2022
A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate.
Edi Kurniadi
doaj   +1 more source

Lie algebra of an n-Lie algebra

open access: yes, 2013
We construct the Lie algebra of an n-Lie algebra and we also define the notion of cohomology of an n-Lie algebra.
Bossoto, Basile Guy Richard   +2 more
openaire   +2 more sources

Dopant‐free passivating contacts for crystalline silicon solar cells: Progress and prospects

open access: yesEcoMat, Volume 5, Issue 2, February 2023., 2023
This article provides an overview of the mechanism and materials of dopant‐free passivating contacts for crystalline silicon solar cells, and focuses on the recent advances in contact configuration and interface engineering for efficiency and stability enhancement.
Yanhao Wang   +5 more
wiley   +1 more source

On Properties of Five-dimensional Nonstandard Filiform Lie algebra

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
In this paper, we study the five-dimensional nonstandard Filiform Lie algebra and their basis elements representations. The aim of this research is to determine the basis elements of five-dimensional nonstandard Filiform Lie algebras representation in ...
Ricardo Eka Putra   +2 more
doaj   +1 more source

Vertex algebras generated by Lie algebras [PDF]

open access: yes, 1999
In this paper we introduce a notion of vertex Lie algebra U, in a way a "half" of vertex algebra structure sufficient to construct the corresponding local Lie algebra L(U) and a vertex algebra V(U).
Primc, Mirko
core   +3 more sources

On the Lie enveloping algebra of a post-Lie algebra

open access: yes, 2014
25 ...
Ebrahimi-Fard, Kurusch   +2 more
openaire   +3 more sources

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