On a connection between nilpotent groups and Lie rings.
On a nilpotent Lie superalgebra which generalizes Qn.
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
On classical -matrices with parabolic carrier.
On classification of metabelian Lie algebras.
On compact elements in solvable Lie groups
On derivations of nilpotent Lie algebras.
On dimension of the Schur multiplier of nilpotent Lie algebras
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.
On nilpotent filiform Lie algebras of dimension eight.
On solvability of Lie rings with an automorphism of finite order.
On Solvable Generalized Calabi-Yau Manifolds
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.
On the basic algebraic operations in solvable Lie groups.
On the Characterization of Primitive Ideals in Enveloping Algebras.
On the cohomology of nilpotent Lie algebras
On the Derived Length of Solvable Lie Algebras.
On the homology of free nilpotent Lie algebras.
On the joint spectral radius of a nilpotent Lie algebra of matrices
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.