Results 231 to 240 of about 858 (252)

Abelian Groups with Solvable Lie Endomorphism Rings

Russian Mathematics
A description has been obtained of all divisible, primary, as well as separable and algebraically compact torsion-free groups, the Lie endomorphism ring of which is solvable.
openaire   +2 more sources

Lie solvable group algebras and solvable unit group

2007
This note is a short survey of recent results and open problems in the framework of Lie solvable group algebras.
openaire   +2 more sources

Rigidity of group actions on solvable Lie groups

Mathematische Annalen, 2000
In this paper, as in other mathematical studies, a crystallographic group denotes a space group which is a discrete cocompact subgroup of the Euclidean group \(E(d)=\mathbb{R}^d\rtimes O(d)\). Space groups are not only important from the point of view of physics, as symmetry groups of crystals, but mathematically as well, because of interrelations ...
openaire   +2 more sources

Controllability of right-invariant systems on solvable lie groups

Journal of Dynamical and Control Systems, 1997
Following the lines of his paper reviewed above, the author gives various conditions that are necessary or sufficient (sometimes both) for the controllability of invariant affine control systems on Lie groups. The main hypothesis made is the existence of codimension-one subgroups what makes the author's ``hypersurface principle'' work.
openaire   +2 more sources

Local derivations on Solvable Lie algebras

Linear and Multilinear Algebra, 2021
Abror Khudoyberdiyev, Sh A Ayupov
exaly  

On the Cohomology of Lattices in Solvable Lie Groups

The Annals of Mathematics, 1966
openaire   +2 more sources

Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups

International Electronic Journal of Geometry
We study homogeneous geodesics in $4$-dimensional solvable Lie groups $\mathrm{Sol}_0^4$, $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}$ and $\mathrm{Nil}_4$.
openaire   +3 more sources

Holonomy Groups of Solvable Lie Foliations

1997
Following C. Ehresmann, to every foliated manifold one associates a pseudogroup of transformations that represents the transverse structure of the foliation. Conversely, every pseudogroup comes from a foliated manifold.
openaire   +2 more sources

On S-Subgroups of Solvable Lie Groups

American Journal of Mathematics, 1970
openaire   +2 more sources

Isotropy of non-nilpotent Riemannian solvable Lie groups

Annals of Global Analysis and Geometry, 1996
Ignacio Bajo, Bajo Ignacio
exaly