On a connection between nilpotent groups and Lie rings.
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On a nilpotent Lie superalgebra which generalizes Qn.
José María Ancochea Bermúdez, Otto Rutwig Campoamor (2002)
Revista Matemática Complutense
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 Ln are studied and classified in low dimensions. Here we consider a class of superalgebras whose even part is the filiform, naturally graded Lie algebra Qn, which only exists in even dimension as a consequence of the centralizer property. Certain...
On basic and axiomatic ranks of nilpotent varieties of Lie algebras
Juri Bahturin (1982)
Banach Center Publications
On classical -matrices with parabolic carrier.
Lyakhovskiĭ, V.D. (2004)
Zapiski Nauchnykh Seminarov POMI
On classification of metabelian Lie algebras.
Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
On compact elements in solvable Lie groups
Michael Wüstner (1998)
Colloquium Mathematicae
On derivations of nilpotent Lie algebras.
Barbari, P., Kobotis, A. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
On dimension of the Schur multiplier of nilpotent Lie algebras
Peyman Niroomand (2011)
Open Mathematics
Let L be an n-dimensional non-abelian nilpotent Lie algebra and where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.
On -filiform Lie algebras. I.
Campoamor Stursberg, O.R. (2002)
Acta Mathematica Universitatis Comenianae. New Series
On nilpotent filiform Lie algebras of dimension eight.
Barbari, P., Kobotis, A. (2003)
International Journal of Mathematics and Mathematical Sciences
On solvability of Lie rings with an automorphism of finite order.
Khukhro, E.I. (2001)
Sibirskij Matematicheskij Zhurnal
On Solvable Generalized Calabi-Yau Manifolds
Paolo de Bartolomeis, Adriano Tomassini (2006)
Annales de l’institut Fourier
We give an example of a compact 6-dimensional non-Kähler symplectic manifold that satisfies the Hard Lefschetz Condition. Moreover, it is showed that is a special generalized Calabi-Yau manifold.
On some classes of nilpotent Leibniz algebras.
Ayupov, Sh.A., Omirov, B.A. (2001)
Sibirskij Matematicheskij Zhurnal
On the basic algebraic operations in solvable Lie groups.
Niels Vigand Pedersen (1994)
Aequationes mathematicae
On the Characterization of Primitive Ideals in Enveloping Algebras.
Ronald S. Irving, Lance W. Small (1980)
Mathematische Zeitschrift
On the cohomology of nilpotent Lie algebras
Ch. Deninger, W. Singhof (1988)
Bulletin de la Société Mathématique de France
On the Derived Length of Solvable Lie Algebras.
Helmut Strade, Rolf Farnsteiner (1988)
Mathematische Annalen
On the homology of free nilpotent Lie algebras.
Tirao, Paulo (2002)
Journal of Lie Theory
On the joint spectral radius of a nilpotent Lie algebra of matrices
Enrico Boasso (1999)
Studia Mathematica
For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices.
On the multiplier of a Lie algebra.
Yankosky, Bill (2003)
Journal of Lie Theory
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