Results 21 to 30 of about 13,564,364 (338)

Pro-Lie Groups: A Survey with Open Problems

open access: yesAxioms, 2015
A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
doaj   +1 more source

Lie group analysis for short pulse equation [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2020
In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given.
Mehdi Nadjafikhah
doaj   +1 more source

Computing Bi-Invariant Pseudo-Metrics on Lie Groups for Consistent Statistics

open access: yesEntropy, 2015
In computational anatomy, organ’s shapes are often modeled as deformations of a reference shape, i.e., as elements of a Lie group. To analyze the variability of the human anatomy in this framework, we need to perform statistics on Lie groups. A Lie group
Nina Miolane, Xavier Pennec
doaj   +1 more source

Contact and almost contact structures on the real extension of the Lobachevsky plane

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2021
In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
doaj   +1 more source

The Method of Insulator Defect Recognition Based on Group Theory

open access: yesIEEE Access, 2021
The auto insulator defect recognition method is more efficient and reliable than manual method, and it has lots of application. The paper presents an insulator recognition method, and meanwhile it attempts to explore the intrinsic characteristics among ...
Changjian Deng
doaj   +1 more source

Linearization of Poisson Lie group structures [PDF]

open access: yes, 2013
We show that for any coboundary Poisson Lie group G, the Poisson structure on G^* is linearizable at the group unit. This strengthens a result of Enriquez-Etingof-Marshall, who had established formal linearizability of G^* for quasi-triangular Poisson ...
A. Alekseev, E. Meinrenken
semanticscholar   +1 more source

Computing Multiplicities of Lie Group Representations [PDF]

open access: yesIEEE Annual Symposium on Foundations of Computer Science, 2012
For fixed compact connected Lie groups H ⊆ G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restriction of an irreducible representation of G.
M. Christandl, B. Doran, M. Walter
semanticscholar   +1 more source

Quantifying wall turbulence via a symmetry approach: a Lie group theory [PDF]

open access: yesJournal of Fluid Mechanics, 2011
First-principle-based prediction of mean-flow quantities of wall-bounded turbulent flows (channel, pipe and turbulent boundary layer (TBL)) is of great importance from both physics and engineering standpoints.
Z. She, Xi Chen, F. Hussain
semanticscholar   +1 more source

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

open access: yesMathematics, 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

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