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Symplectic structures on nilmanifolds: an obstruction for its existence
(Heldermann Verlag, 2014-08)
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology of the Lie algebra. Using this obstruction ...
Controllability of linear systems on non-abelian compact lie groups
(Pontificia Universidad Católica del PerúPE, 2017)
Deformaciones de álgebras de Lie nilpotentes filiformes
(2017-02)
Michele Vergne inició el estudio de la geometría de la variedad algebraica de todas las álgebras o corchetes de Lie nilpotentes mostrando el rol distintivo de las álgebras de Lie nilpotentes filiformes, aquéllas de nilíndice ...
The Nash–Moser theorem of Hamilton and rigidity of finite dimensional nilpotent Lie algebras
(Elsevier Science, 2017-09)
We apply the Nash–Moser theorem for exact sequences of R. Hamilton to the context of deformations of Lie algebras and we discuss some aspects of the scope of this theorem in connection with the polynomial ideal associated ...
The cohomology of filiform Lie algebras of maximal rank
(Elsevier Science Inc, 2014-06)
We describe the structure of the cohomology of the filiform Lie algebras Ln and Qn as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal h ...
Maximal Subgroups of Compact Lie Groups
(Heldermann Verlag, 2012-01-01)
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) ...
Maximal Subgroups of Compact Lie Groups
(HELDERMANN VERLAGLEMGO, 2013-08-02)
This report aims at giving a general overview on the classification of the maximal subgroups of compact Lie groups (not necessarily connected). In the first part, it is shown that these fall naturally into three types: (1) ...
Álgebras de Lie solubles de baja dimensión
(Pontificia Universidad Javeriana, 2016)
Grupoides y algebroides dobles de Lie /
(2010)
En este trabajo demostramos que todo grupoide doble de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie diagonal canónicamente definido. Tambien, estudiamos ...