Results 21 to 30 of about 1,659,781 (237)

Dense and Sparse 3D Deformation Signatures for 3D Dynamic Face Recognition

open access: yesIEEE Access, 2021
This work analyses dense and sparse 3D Deformation Signatures to represent 3D temporal deformation instances. The signatures are employed in dynamic 3D face recognition, however, they are applicable in other domains.
Abd El Rahman Shabayek, Djamila Aouada
doaj   +1 more source

The Waring problem for Lie groups and Chevalley groups [PDF]

open access: yes, 2014
The classical Waring problem deals with expressing every natural number as a sum of g(k) k-th powers. Similar problems were recently studied in group theory, where we aim to present group elements as short products of values of a given non-trivial word w.
Hui, Chun Yin   +2 more
core   +3 more sources

Dynamics of Complex Mechanical Systems Based on Lie Groups and Lie algebra

open access: yesMATEC Web of Conferences, 2016
Adjoint transformations and adjoint operators of Lie groups and Lie algebra are discussed in this paper to study the recursive dynamics of complex systems.
Shao Bing, Yuan Entao
doaj   +1 more source

Berry's phase for compact Lie groups [PDF]

open access: yes, 2000
The Lie group adiabatic evolution determined by a Lie algebra parameter dependent Hamiltonian is considered. It is demonstrated that in the case when the parameter space of the Hamiltonian is a homogeneous K\"ahler manifold its fundamental K\"ahler ...
Alvarez-Gaumé   +15 more
core   +2 more sources

Extremal curves in nilpotent Lie groups [PDF]

open access: yes, 2013
We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle.
Davide Vittone   +5 more
core   +2 more sources

Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields

open access: yesComptes Rendus. Mathématique, 2020
Let $G$ be a Lorentzian Lie group or a pseudo-Riemannian Lie group of type $(n-2,2)$. If $G$ admits a non-Killing left-invariant conformal vector field, then $G$ is solvable.
Zhang, Hui, Chen, Zhiqi
doaj   +1 more source

Cyclic Lorentzian Lie Groups

open access: yes, 2015
We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results
Calvaruso, G., Lopez, M. Castrillon
core   +1 more source

Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]

open access: yes, 2015
We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core   +2 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

open access: yes, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir   +2 more
core   +3 more sources

Orthogonal Polynomials of Compact Simple Lie Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko   +2 more
doaj   +1 more source

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