Abstract. We review (non-abelian) extensions of a given Lie algebra, identify a 3-dimensional cohomological obstruction to the existence of extensions. A striking analogy to the setting of covariant exterior derivatives, curvature, and the Bianchi identity in differential geometry is spelled out. 1. Introduction. Th
In this dissertation, we investigate the cohomology theory of restricted Lie algebras. The ...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...
We study the problem of quadruple extensions of simple Lie algebras. We find that, adding a new simp...
summary:We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical inter...
International audienceIn this paper, we study non-abelian extensions of 3-Lie algebras through Maure...
We show that, in semi-abelian action accessible categories (such as the categories of groups, Lie al...
summary:The Wells map relates automorphisms with cohomology in the setting of extensions of groups a...
We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poin...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN049041 / BLDSC - British Library D...
AbstractThe fact that Lie algebra homomorphisms can be extended to Lie group homomorphisms, provided...
We study under what condition a closed invariant form on a manifold with a group action admits an eq...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
International audienceWe consider the extension problem for Lie algebroids over schemes over a field...
In this paper, first we show that under the assumption of the center of h being zero, diagonal...
22 pagesWe classify nonabelian extensions of Lie algebroids in the holomorphic or algebraic category...
In this dissertation, we investigate the cohomology theory of restricted Lie algebras. The ...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...
We study the problem of quadruple extensions of simple Lie algebras. We find that, adding a new simp...
summary:We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical inter...
International audienceIn this paper, we study non-abelian extensions of 3-Lie algebras through Maure...
We show that, in semi-abelian action accessible categories (such as the categories of groups, Lie al...
summary:The Wells map relates automorphisms with cohomology in the setting of extensions of groups a...
We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poin...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN049041 / BLDSC - British Library D...
AbstractThe fact that Lie algebra homomorphisms can be extended to Lie group homomorphisms, provided...
We study under what condition a closed invariant form on a manifold with a group action admits an eq...
The curvature tensor measures the extent to which covariant differentiation on manifolds differs fro...
International audienceWe consider the extension problem for Lie algebroids over schemes over a field...
In this paper, first we show that under the assumption of the center of h being zero, diagonal...
22 pagesWe classify nonabelian extensions of Lie algebroids in the holomorphic or algebraic category...
In this dissertation, we investigate the cohomology theory of restricted Lie algebras. The ...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...
We study the problem of quadruple extensions of simple Lie algebras. We find that, adding a new simp...