Discrete cocompact subgroups of the five-dimensional connected and simply connected nilpotent Lie groups.
Ghorbel, Amira, Hamrouni, Hatem (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Displaying similar documents to “On the Moore formula of compact nilmanifolds.”
Discrete cocompact subgroups of the five-dimensional connected and simply connected nilpotent Lie groups.
Harmonic analysis in one-parameter metabelian nilmanifolds.
Ghorbel, Amira (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Lie algebras of a class of top spaces.
Molaei, M.R., Farhangdoost, M.R. (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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The classification of all simple Lie groups with surjective exponential map.
Wüstner, Michael (2005)
Journal of Lie Theory
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Controllability of nilpotent systems
Victor Bravo (1995)
Banach Center Publications
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In this paper we study the controllability property of invariant control systems on Lie groups. In [1], the authors state: ``If there exists a real function strictly increasing on the positive trajectories, then the system cannot be controllable". To develop this idea, the authors define the concept of symplectic vector via the co-adjoint representation. We are interested in finding algebraic conditions to determine the existence of symplectic vectors in nilpotent Lie algebras. In particular,...
On -filiform Lie algebras. I.
Campoamor Stursberg, O.R. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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Characteristically nilpotent Lie Algebras: a survey.
José M. Ancochea, Rutwig Campoamor (2001)
Extracta Mathematicae
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Some necessary and sufficient conditions for nilpotent -Lie superalgebras
Baoling Guan, Liangyun Chen, Yao Ma (2014)
Czechoslovak Mathematical Journal
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The paper studies nilpotent -Lie superalgebras over a field of characteristic zero. More specifically speaking, we prove Engel’s theorem for -Lie superalgebras which is a generalization of those for -Lie algebras and Lie superalgebras. In addition, as an application of Engel’s theorem, we give some properties of nilpotent -Lie superalgebras and obtain several sufficient conditions for an -Lie superalgebra to be nilpotent by using the notions of the maximal subalgebra, the weak ideal...
The exponential map and differential equations on real Lie groups.
Moskowitz, Martin, Sacksteder, Richard (2003)
Journal of Lie Theory
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Lattices and harmonic analysis on some 2-step solvable Lie groups.
Huang, Huale (2003)
Journal of Lie Theory
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Nilpotent control systems.
Elisabeth Remm, Michel Goze (2002)
Revista Matemática Complutense
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We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the non- linear system corresponding to the control of the trails pulled by car.