Results 41 to 50 of about 2,143,040 (330)
Lie algebraic Carroll/Galilei duality [PDF]
, 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
Dual formulation of the Lie algebra S-expansion procedure [PDF]
, 2009 The expansion of a Lie algebra entails finding a new bigger algebra G through a series of well-defined steps from an original Lie algebra g. One incarnation of the method, the so-called S-expansion, involves the use of a finite Abelian semigroup S to ...
F. Izaurieta +3 more
semanticscholar +1 more source
Regression with an imputed dependent variable
Journal of Applied Econometrics, Volume 37, Issue 7, Page 1277-1294, November/December 2022., 2022 Summary Researchers are often interested in the relationship between two variables, with no single data set containing both. A common strategy is to use proxies for the dependent variable that are common to two surveys to impute the dependent variable into the data set containing the independent variable.
Thomas F. Crossley +2 more
wiley +1 more source
Hom-structures on semi-simple Lie algebras
Open 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
Vertex algebras generated by Lie algebras [PDF]
, 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
Struktur Simplektik pada Aljabar Lie Affine aff(2,R)
Jambura Journal of MathematicsIn 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
Lie n-centralizers of generalized matrix algebras
AIMS Mathematics, 2023 In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper.
He Yuan , Zhuo Liu
doaj +1 more source
Automated handling of complex chemical structures in Z‐matrix coordinates—The chemcoord library
Journal of Computational Chemistry, Volume 44, Issue 5, Page 710-726, February 15, 2023., 2023 We propose an algorithm for a chemically intuitive automatically generated Z‐matrix representation, including reliable back‐and‐forth transformation between coordinate spaces while properly handling linear dependencies. The usefulness of the method is showcased for molecule manipulation and initial guesses of reaction pathways.
Oskar Weser +2 more
wiley +1 more source
Algebraic loop structures on algebra comultiplications
Open Mathematics, 2019 In this paper, we study the algebraic loop structures on the set of Lie algebra comultiplications. More specifically, we investigate the fundamental concepts of algebraic loop structures and the set of Lie algebra comultiplications which have inversive ...
Lee Dae-Woong
doaj +1 more source
Between the enhanced power graph and the commuting graph
Journal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023 Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
wiley +1 more source