Classification of compact homogeneous spaces with invariant symplectic structures.
Classification of connected unimodular Lie groups with discrete series
We introduce a new class of connected solvable Lie groups called -group. Namely a -group is a unimodular connected solvable Lie group with center such that for some in the Lie algebra of , the symplectic for on given by is nondegenerate. Moreover, apart form some technical requirements, it will be proved that a connected unimodular Lie group with center , such that the center of is finite, has discrete series if and only if may be written as , , where is a -group with...
Classification of CR invariant structures for compact Lie groups. (Classification des structures CR invariantes pour les groupes de Lie compacts.)
Classification of self-dual torsion-free LCA groups
In this paper we seek to describe the structure of self-dual torsion-free LCA groups. We first present a proof of the structure theorem of self-dual torsion-free metric LCA groups. Then we generalize the structure theorem to a larger class of self-dual torsion-free LCA groups. We also give a characterization of torsion-free divisible LCA groups. Consequently, a complete classification of self-dual divisible LCA groups is obtained; and any self-dual torsion-free LCA group can be regarded as an open...
Classification of spherical nilpotent orbits in complex symmetric space.
Classification of the irreducible representations of the groups
Classification of two involutions on compact semisimple Lie groups and root systems.
Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
Clifford approach to metric manifolds
[For the entire collection see Zbl 0742.00067.]For the purpose of providing a comprehensive model for the physical world, the authors set up the notion of a Clifford manifold which, as mentioned below, admits the usual tensor structure and at the same time a spin structure. One considers the spin space generated by a Clifford algebra, namely, the vector space spanned by an orthonormal basis satisfying the condition , where denotes the unit scalar of the algebra and () the nonsingular Minkowski...
Closed categories and topological vector spaces
Closed congruences on semigroups.
Closed convex -subgroups and radical classes of convergence -groups
In this paper we prove that the system of all closed convex -subgroups of a convergence -group is a Brouwer lattice and that a similar result is valid for radical classes of convergence -groups.
Closed ideals in semigroups of continuous selfmaps.
Closed Ideals of Homogeneous Algebras.
Closed subgroups in Banach spaces
We show that zero-dimensional nondiscrete closed subgroups do exist in Banach spaces E. This happens exactly when E contains an isomorphic copy of . Other results on subgroups of linear spaces are obtained.
Closed subgroups of nuclear spaces are weakly closed
Closure of singly generated subsemigroups of S.
Coarse sequential convergence in groups, etc
Coarse structures and group actions
The main results of the paper are: Proposition 0.1. A group G acting coarsely on a coarse space (X,𝓒) induces a coarse equivalence g ↦ g·x₀ from G to X for any x₀ ∈ X. Theorem 0.2. Two coarse structures 𝓒₁ and 𝓒₂ on the same set X are equivalent if the following conditions are satisfied: (1) Bounded sets in 𝓒₁ are identical with bounded sets in 𝓒₂. (2) There is a coarse action ϕ₁ of a group G₁ on (X,𝓒₁) and a coarse action ϕ₂ of a...
Cocompact subgroups of semi-simple Lie groups.