Classification of filiform Lie algebras in dimension 8.
José María Ancochea Bermúdez, Michel Goze (1986)
Extracta Mathematicae
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Displaying similar documents to “Some properties of complex filiform Lie algebras.”
Classification of filiform Lie algebras in dimension 8.
Classification of solvable Lie algebras.
de Graaf, W.A. (2005)
Experimental Mathematics
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Complex nilpotent Lie algebras of dimension 7 which are not derived from others.
Francisco J. Echarte, José R. Gómez, Juan Núñez (1994)
Extracta Mathematicae
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Computations in finite-dimensional Lie algebras.
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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On a nilpotent Lie superalgebra which generalizes Q.
José María Ancochea Bermúdez, Otto Rutwig Campoamor (2002)
Revista Matemática Complutense
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In Gilg (2000, 2001) the author introduces the notion of filiform Lie superalgebras, generalizing the filiform Lie algebras studied by Vergne in the sixties. In these appers, the superalgebras whose even part is isomorphic to the model filiform Lie algebra L are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Q, which only exists in even dimension as a consequence of the centralizer property....
Poisson-Lie groupoids and the contraction procedure
Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
On the cohomology of nilpotent Lie algebras
Ch. Deninger, W. Singhof (1988)
Bulletin de la Société Mathématique de France
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Lie algebras all of whose subalgebras are supersolvable.
Alberto C. Elduque Palomo, Vicente R. Varea Agudo (1986)
Extracta Mathematicae
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A Lie algebra L is said to be minimal non supersolvable if all its subalgebras, except L itself, are supersolvable.
Underlying Lie algebras of quadratic Novikov algebras
Zhiqi Chen (2011)
Czechoslovak Mathematical Journal
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Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and the Hamiltonian operators in formal variational calculus. In this note we prove that the underlying Lie algebras of quadratic Novikov algebras are 2-step nilpotent. Moreover, we give the classification up to dimension .