Results 21 to 30 of about 1,659,781 (237)
Dense and Sparse 3D Deformation Signatures for 3D Dynamic Face Recognition
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]
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
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
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Berry's phase for compact Lie groups [PDF]
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]
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
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Pseudo-Riemannian Lie groups admitting left-invariant conformal vector fields
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
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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]
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
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
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
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

