Characteristically nilpotent Lie Algebras: a survey.
José M. Ancochea, Rutwig Campoamor (2001)
Extracta Mathematicae
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Displaying similar documents to “Some geometrical properties of infinite-dimensional bilinear controlled systems”
Characteristically nilpotent Lie Algebras: a survey.
On -filiform Lie algebras. I.
Campoamor Stursberg, O.R. (2002)
Acta Mathematica Universitatis Comenianae. New Series
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The variety of Lie bialgebras.
Ciccoli, Nicola, Guerra, Lucio (2003)
Journal of Lie Theory
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Representation of a gauge group as motions of a Hilbert space
Clara Lucía Aldana Domínguez (2004)
Annales mathématiques Blaise Pascal
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This is a survey article based on the author’s Master thesis on affine representations of a gauge group. Most of the results presented here are well-known to differential geometers and physicists familiar with gauge theory. However, we hope this short systematic presentation offers a useful self-contained introduction to the subject. In the first part we present the construction of the group of motions of a Hilbert space and we explain the way in which it can be considered...
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.
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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A Leibniz algebra structure on the second tensor power.
Kurdiani, R., Pirashvili, T. (2002)
Journal of Lie Theory
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Defining relations for classical Lie superalgebras without Cartan matrices.
Grozman, P., Leites, D., Poletaeva, E. (2002)
Homology, Homotopy and Applications
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Product structures on four dimensional solvable Lie algebras.
Andrada, A., Barberis, M.L., Dotti, I.G., Ovando, G.P. (2005)
Homology, Homotopy and Applications
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About a family of naturally graded no p-filiform Lie algebras.
L. M. Camacho, J. R. Gómez, A. J. González (2005)
Extracta Mathematicae
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The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family...