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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 ...
Álgebras de Lie, grupos de Lie e espaços girovetoriais de Lie
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
Extended Hamilton-Jacobi Theory, Symmetries and Integrability by Quadratures
(Multidisciplinary Digital Publishing Institute, 2021-06)
In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete ...
Lie groups and definability
(Universidad de los AndesDoctorado en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2021)
Es conocido desde 1988 (Pillay) que un grupo definible en una expansión o-minimal de los reales es un grupo de Lie. En este trabajo se dan criterios para asegurar que un grupo de Lie tenga una copia definible, es decir que ...
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. ...
THE COVERING SEMIGROUP OF INVARIANT CONTROL SYSTEMS ON LIE GROUPS
(2016)
It is well known that the class of invariant control systems is really relevant both from theoretical and practical point of view. This work was an attempt to connect an invariant systems on a Lie group G with its covering ...
Álgebras de Lie e aplicações à sistemas alternantes
(Universidade Estadual Paulista (UNESP), 2014)