Groupoid -algebras.
Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson.
The purpose of this paper is to prove the existence of a symplectic realization for a large class of regular Poisson manifolds with Riemannian two dimensional characteristic foliation. To do so, we will show that the homotopy groupoid of a Riemannian foliation is locally trivial.
Groupoids and compact quantum groups
Groups acting on trees : from local to global structure
Groups – Additive Notation
We translate the articles covering group theory already available in the Mizar Mathematical Library from multiplicative into additive notation. We adapt the works of Wojciech A. Trybulec [41, 42, 43] and Artur Korniłowicz [25]. In particular, these authors have defined the notions of group, abelian group, power of an element of a group, order of a group and order of an element, subgroup, coset of a subgroup, index of a subgroup, conjugation, normal subgroup, topological group, dense subset and basis...
Groups Admitting Ergodic Actions with Generalized Discrete Spectrum.
Groups of -diffeomorphisms related to a foliation
The notion of a -diffeomorphism related to a foliation is introduced. A perfectness theorem for the group of -diffeomorphisms is proved. A remark on -diffeomorphisms is given.
Groups of diffeomorphisms and Lie theory.
Groups of Measure Preserving Transformations.
Groups of Measure Preserving Transformations. II.
Groups of strings.
Group-theoretic compactification of Bruhat–Tits buildings
Growth and smooth spectral synthesis in the Fourier algebras of Lie groups
Let G be a Lie group and A(G) the Fourier algebra of G. We describe sufficient conditions for complex-valued functions to operate on elements u ∈ A(G) of certain differentiability classes in terms of the dimension of the group G. Furthermore, generalizing a result of Kirsch and Müller [Ark. Mat. 18 (1980), 145-155] we prove that closed subsets E of a smooth m-dimensional submanifold of a Lie group G having a certain cone property are sets of smooth spectral synthesis. For such sets we give an estimate...
Growth functions for some uniformly amenable groups
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case. We also compute a growth function for some non-abelian uniformly amenable group.
Growth of homogeneous spaces, density of discrete subgroups and Kazhdan's property (T).
Gruppentopologien auf nichtabelschen abzählbaren Gruppen.