Results 31 to 40 of about 308,640 (313)

Controllabilty and stability analysis on a group associated with Black-Scholes equation [PDF]

Archives of Control Sciences, 2020
In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations.
Archana, Tiwari, Debanjana, Bhattacharyya, K.C., Pati   +2 more
doaj   +1 more source

The Affine Group of a Lie Group [PDF]

Proceedings of the American Mathematical Society, 1963
1. If G is a Lie group, then the group Aut(G) of all continuous automorphisms of G has a natural Lie group structure. This gives the semidirect product A(G) = G-Aut(G) the structure of a Lie group. When G is a vector group R", A(G) is the ordinary affine group A(re). Following L. Auslander [l ] we will refer to A(G) as the affine group of G, and regard
openaire   +1 more source

Regularity of Lie groups

Communications in Analysis and Geometry, 2022
72 pages.
openaire   +2 more sources

Semiparametric estimation of shifts on compact Lie groups for image registration [PDF]

, 2008
In this paper we focus on estimating the deformations that may exist between similar images in the presence of additive noise when a reference template is unknown. The deformations aremodeled as parameters lying in a finite dimensional compact Lie group.
Vimond, Myriam, Bigot, Jérémie, Loubes, Jean-Michel   +2 more
core   +1 more source

The Lie Group in Infinite Dimension

Abstract and Applied Analysis, 2011
A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem).
V. Tryhuk, V. Chrastinová, O. Dlouhý
doaj   +1 more source

Model Formulation Over Lie Groups and Numerical Methods to Simulate the Motion of Gyrostats and Quadrotors

Mathematics, 2019
The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
doaj   +1 more source

Automorphic Lie algebras with dihedral symmetry

, 2014
The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan, Knibbeler, Vincent, Knibbeler, V., Lombardo, Sara, Lombardo, S., Knibbeler, V.; id_orcid, J A Sanders, Lombardo, S.; id_orcid, A Sanders, J., S Lombardo, V Knibbeler   +10 more
core   +1 more source

The index complex of a maximal subalgebra of a Lie algebra. [PDF]

, 2011
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A., David A. Towers
core   +1 more source

Generalized Lorentzian Ricci solitons on 3-dimensional Lie groups associated to the Bott Connection [PDF]

AUT Journal of Mathematics and Computing
In this paper, we investigate which one of the non-isometric left-invariant Lorentz metrics $g$ on $3$-dimensional Lie groups satisfies the generalized Ricci soliton equation $a{\rm Ric}^B [g] + \dfrac{b}{2}{\cal L}_{ X}^B g +cX^\flat\otimes X^\flat ...
Ghodratallah Fasihi Ramandi, Shahroud Azami, Vahid Pirhadi   +2 more
doaj   +1 more source

A Novel Distribution for Representation of 6D Pose Uncertainty

Micromachines, 2022
The 6D Pose estimation is a crux in many applications, such as visual perception, autonomous navigation, and spacecraft motion. For robotic grasping, the cluttered and self-occlusion scenarios bring new challenges to the this field.
Lei Zhang, Huiliang Shang, Yandan Lin
doaj   +1 more source