Groups acting on covering spaces
Invariants de certaines actions de lie instabilité du caractère Fredholm.
Irreducibility of some representations of the groups of symplectomorphisms and contactomorphisms
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Kazhdan groups acting on compact manifolds.
Large automorphism groups of 16-dimensional planes are Lie groups.
Large group actions on manifolds.
Lifting smooth homotopies of orbit spaces of proper Lie group actions.
Manifolds which admit actions
Multicontact vector fields on Hessenberg manifolds.
Noncompact, almost simple groups operating on locally compact, connected translation planes.
On a group of holomorphic transformations in
On c-actions on compact complex manifolds with many compact orbits.
On discrete subgroups of Lie groups and elliptic geometric structures.
In this paper we continue the investigation of [7]-[10] concerning the actions of discrete subgroups of Lie groups on compact manifolds.
On hierarchy of the positioned eco-grammar systems
Positioned eco-grammar systems (PEG systems, for short) were introduced in our previous papers. In this paper we engage in a new field of research, the hierarchy of PEG systems, namely in the hierarchy of the PEG systems according to the number of agents presented in the environment and according to the number of types of agents in the system.
Operators on differential forms for Lie transformation groups.
Parallelizability of Proper Actions, Global K-slices and Maximal Compact Subgroups.
Positioned agents in eco-grammar systems with border markers and pure regulated grammars
In this paper we follow our previous research in the field of positioned agents in the eco-grammar systems and pure grammars. We extend model of the positioned eco-grammar systems by boundary markers and we introduce bordered positioned eco-grammar systems (BPEG systems, for short) and that way we show one of the possible answers to the question stated in [9]. Namely we compare generative power of the BPEG systems with three types of pure regulated grammars with appearance checking.
Proper actions and a compactness condition.
Quantum co-adjoint orbits of the group of affine transformations of the complex line.
Quantum half-planes via deformation quantization.