On embedding of Lie conformal algebras into associative conformal algebras.
On formal series and infinite products over Lie algebras.
On generators of free color Lie superalgebras of rank two.
On geometry of curves of flags of constant type
We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...
On Griess 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 -filiform Lie algebras. I.
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 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 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 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.
On porcupine varieties in Lie algebras.