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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 ...
Engel’s theoremEl teorema de Engel
(Pereira : Universidad Tecnológica de PereiraFacultad de Ciencias Básicas, 2011)
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
(Unión Matemática Argentina, 2017-03)
In this paper we classify the irreducible quasifinite highest weight modules over the orthogonaland syplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudodifferential operators. We also realize ...
Super álgebras de funçõesMap superalgebras
([s.n.], 2013)
Isomorphism Problem for Universal Enveloping Algebras of Solvable Lie Algebras
(Universidade Federal de Minas GeraisUFMG, 2019-03-18)
We dedicate this thesis to study the isomorphism problem for solvable Lie algebras of dimension at most 4. The principal contribution is to show that the isomorphism problem has a positive solution for 4-dimensional solvable ...
Álgebras de Lie, grupos de Lie e espaços girovetoriais de Lie
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
Deformaciones y degeneraciones de álgebras de Lie
(2014)
El objeto de estudio de esta tesis es la variedad algebraica Ln, de todas las álgebras de Lie complejas de dimensión n y la subvariedad Nn de todas las álgebras de Lie nilpotentes en Ln. Para entender estas variedades se ...
Curvaturas de métricas invariantes em Grupos de Lie
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)