Results 41 to 50 of about 2,128,372 (188)

Poisson-Lie group of pseudodifferential symbols

, 1993
We introduce a Lie bialgebra structure on the central extension of the Lie algebra of differential operators on the line and the circle (with scalar or matrix coefficients).
A.O. Radul, A.O. Radul, A.S. Dzhumadildaev, B.A. Khesin, B.A. Kupershmidt, B.L. Feigin, Boris Khesin, C. Roger, C.N. Pope, D.R. Lebedev, D.R. Lebedev, D.R. Lebedev, E. Date, G. Segal, I. Bakas, I. Zakharevich, I.M. Gelfand, Ilya Zakharevich, J.-H. Lu, J.-L. Gervais, L.A. Dickey, M. Adler, M. Wodzicki, M. Wodzicki, M.A. Semenov-Tyan-Shanskii, M.A. Semenov-Tyan-Shanskii, M.A. Semenov-Tyan-Shanskii, O.S. Kravchenko, T.G. Khovanova, V.G. Drinfeld, V.G. Drinfeld, V.G. Kac, V.G. Kac, V.I. Arnold, V.Yu. Ovsienko, W.L. Li   +35 more
core   +1 more source

Stability problems and numerical integration on the Lie group SO(3) × R3 × R3

Open Mathematics, 2018
The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
doaj   +1 more source

A Smooth Model for the String Group

, 2012
We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model.
Aldrovandi, Baez, Bourbaki, Bourbaki, Bredon, Bunke, Bunke, Cartan, Christoph Sachse, Christoph Wockel, Deligne, Dugundji, Etter, Freed, Getzler, Glöckner, Glöckner, Glöckner, Gotay, Hamilton, Hatcher, Henriques, Henriques, Henriques, Killingback, Kuiper, Lang, Lewis, Lurie, May, Metzler, Müller, Neeb, Neeb, Neeb, Neeb, Nikolaus, Noohi, Omori, Palais, Roberts, Schommer-Pries, Segal, Segal, Spanier, Stolz, Stolz, Strøm, Thomas Nikolaus, tom Dieck, tom Dieck, Wagemann, Waldorf, Witten, Wockel, Wockel, Wockel   +56 more
core   +1 more source

Poisson-Lie Group structures on semidirect products [PDF]

arXiv, 2022
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect product group structure, becomes a Poisson-Lie group as suggested by a recent work of Stachura. Moreover, when we start from matched pairs given by the Iwasawa decomposition
arxiv  

Minimal Matrix Representations of Decomposable Lie Algebras of Dimension Less Than or Equal to Five

Extracta Mathematicae, 2018
We obtain minimal dimension matrix representations for each decomposable five-dimensional Lie algebra over R and justify in each case that they are minimal.
Ryad Ghanam, Manoj Lamichhane, Gerard Thompson   +2 more
doaj  

Continuous Homomorphisms Defined on (Dense) Submonoids of Products of Topological Monoids

Axioms, 2020
We study the factorization properties of continuous homomorphisms defined on a (dense) submonoid S of a Tychonoff product D = ∏ i ∈ I D i of topological or even topologized monoids.
Mikhail Tkachenko
doaj   +1 more source

An In-Flight Alignment Method for Global Positioning System-Assisted Low Cost Strapdown Inertial Navigation System in Flight Body with Short-Endurance and High-Speed Rotation

Remote Sensing, 2023
Alignment technology plays an important role in navigation, and is used extensively throughout military and civilian applications. However, the existing in-flight alignment methods cannot be applied to the low-cost based strap-down inertial navigation ...
Xiaokai Wei, Jie Li, Ding Han, Junlin Wang, Ying Zhan, Xin Wang, Kaiqiang Feng   +6 more
doaj   +1 more source

Rigidity of Poisson Lie group actions [PDF]

, 2014
n this paper we prove that close infinitesimal momentum maps associated to Poisson Lie actions are equivalent under some mild assumptions. We also obtain rigidity theorems for actual momentum maps (when the acting Lie group G is endowed with an arbitrary
Miranda Galcerán, Eva
core   +1 more source

Coverings and Actions of Structured Lie Groupoids I [PDF]

arXiv, 2009
In this work we deal with coverings and actions of Lie group- groupoids being a sort of the structured Lie groupoids. Firstly, we define an action of a Lie group-groupoid on some Lie group and the smooth coverings of Lie group-groupoids. Later, we show the equivalence of the category of smooth actions of Lie group-groupoids on Lie groups and the ...
arxiv  

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

AIMS Mathematics
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben , Ryad Ghanam, G. Thompson, Edward L. Boone   +3 more
doaj   +1 more source