On homotopes of Novikov algebras.
On hyperbolic cones and mixed symmetric spaces.
On integrability of discrete representations of Lie algebra
On invariants of the action of a finite group on a free Lie algebra.
On irreducible sl (2, R) - modules and sl 2-triples.
On JB*-triples defined by fibre bundles.
On -filiform Lie algebras. I.
On Leibniz algebras with maximal cyclic subalgebras
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras.
On Leibniz homology
We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.
On Lie algebra decompositions, related to spherical homogeneous spaces.
On Lie algebras in braided categories
The category of group-graded modules over an abelian group is a monoidal category. For any bicharacter of this category becomes a braided monoidal category. We define the notion of a Lie algebra in this category generalizing the concepts of Lie super and Lie color algebras. Our Lie algebras have -ary multiplications between various graded components. They possess universal enveloping algebras that are Hopf algebras in the given category. Their biproducts with the group ring are noncommutative...
On Lie powers of regular modules in characteristic 2
On Linear and Quadratic Jordan Division Algebras.
On matrix Lie rings over a commutative ring that contain the special linear Lie ring
Let be an associative and commutative ring with , a subring of such that , an integer. The paper describes subrings of the general linear Lie ring that contain the Lie ring of all traceless matrices over .
On maximal subalgebras of central simple Malcev algebras.
In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).
On multiplicities of simple subquotients in generalized Verma modules
We reduce the problem on multiplicities of simple subquotients in an -stratified generalized Verma module to the analogous problem for classical Verma modules.
On Nambu bracket representations of 3-algebras.
On nilpotent filiform Lie algebras of dimension eight.
On normal abelian subgroups in parabolic groups
Let be a reductive algebraic group, a parabolic subgroup of with unipotent radical , and a closed connected subgroup of which is normalized by . We show that acts on with finitely many orbits provided is abelian. This generalizes a well-known finiteness result, namely the case when is central in . We also obtain an analogous result for the adjoint action of on invariant linear subspaces of the Lie algebra of which are abelian Lie algebras. Finally, we discuss a connection...
On Ol'shanskii's semigroup.