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Álgebras de Lie e aplicações à sistemas alternantes
(Universidade Estadual Paulista (UNESP), 2014)
Geometric Interpretation of a Non-linear Beam Finite Element on the Lie Group SE(3)
(De Gruyter, 2014-08)
Recently, the authors proposed a geometrically exact beam finite element formulation on the Lie group SE(3). Some important numerical and theoretical aspects leading to a computationally efficient strategy were obtained. ...
Dispersiveness of control affine systems on nilpotent Lie groups : invariant and linear systems
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2023)
Global and concrete quantizations on general type I groups
(Springer-Verlag Wien, 2019)
In recent papers and books, a global quantization has been developed for unimodular groups of type I. It involves operator-valued symbols defined on the product between the group G and its unitary dual G^ , composed of ...
Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
(Springer, 2018-03)
We study the existence of lattices in almost abelian Lie groups that admit left invariant locally conformal Kähler or locally conformal symplectic structures in order to obtain compact solvmanifolds equipped with these ...
Some exact solutions for a unidimensional fokker-planck equation by using Lie Symmetries
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2015)
Controllability of Singular Control System on Lie Groups
(2013)
We study the controllability properties for a singular control system on
Abelian and Compact connected Lie groups, they are natural generalization
of linear control systems on Lie groups. Also we analyze the reachabili ...
Local symmetries in gauge theories in a finite-dimensional setting
(ELSEVIER SCIENCE BVAMSTERDAM, 2012)
It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and their actions on manifolds, out into the realm ...
A Geometric Splitting Theorem
(2019)
Let G = G1...Gl be a connected noncompact semisimple
Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically
transitive on a manifold M. We obtain a geometric splitting
of the metric on M that consider ...