On basic and axiomatic ranks of nilpotent varieties of Lie algebras
On constant solutions of the Yang-Mills equations
On Leibniz homology
We describe a spectral sequence for computing Leibniz cohomology for Lie 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 the formula of Ślebodziński for Lie derivative of tensor fields in a differential space
On the principle of stability of invariance of physical systems
On the q-exponential of matrix q-Lie algebras
In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with q-determinant...
Opérateurs différentiels et mesures invariantes
Operations for modules on Lie-Rinehart superalgebras.
Poisson-Nijenhuis structures
Singular operations on algebras (generalized contractions)
Sur certaines classes d'algèbres de Lie rigides.
The categories of free metabelian groups and Lie algebras
The construction of 3-Lie 2-algebras
We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
The forms and representations of the Lie algebra .
Topology of the space of all -dimensional Lie subalgebras of the Lie algebra
Troisième théorème fondamental de réalisation de Cartan
De même qu’avec les groupes de Lie, à tout pseudo-groupe infinitésimal de Lie sur il est associé de façon naturelle une algèbre de Lie , qui est une sous-algèbre de Lie fermée de l’algèbre de Lie de tous les champs de vecteurs formels de , l’algèbre étant munie de la topologie définie par la filtration naturelle de l’algèbre des séries formelles. Le troisième théorème fondamental de Cartan dit qu’inversement étant donnée une sous-algèbre de Lie transitive fermée de l’algèbre , il existe...
Über Derivationen in isolierten Singularitäten auf vollständigen Durchschnitten.
Universal central extension of direct limits of Hom-Lie algebras
We prove that the universal central extension of a direct limit of perfect Hom-Lie algebras is (isomorphic to) the direct limit of universal central extensions of . As an application we provide the universal central extensions of some multiplicative Hom-Lie algebras. More precisely, we consider a family of multiplicative Hom-Lie algebras and describe the universal central extension of its direct limit.
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