Implementation canonique pour les co-actions d'un groupe localement compact et les systèmes dynamiques generalises.
Imposing psendocompact group topologies on Abeliau groups
The least cardinal λ such that some (equivalently: every) compact group with weight α admits a dense, pseudocompact subgroup of cardinality λ is denoted by m(α). Clearly, . We show: Theorem 4.12. Let G be Abelian with |G| = γ. If either m(α) ≤ α and m, or α > ω and , then G admits a pseudocompact group topology of weight α. Theorem 4.15. Every connected, pseudocompact Abelian group G with wG = α ≥ ω satisfies . Theorem 5.2(b). If G is divisible Abelian with , then G admits at most -many...
In a left-topological semigroup with dense center the closure of any left ideal is an ideal.
In quest of weaker connected topologies
We study when a topological space has a weaker connected topology. Various sufficient and necessary conditions are given for a space to have a weaker Hausdorff or regular connected topology. It is proved that the property of a space of having a weaker Tychonoff topology is preserved by any of the free topological group functors. Examples are given for non-preservation of this property by “nice” continuous mappings. The requirement that a space have a weaker Tychonoff connected topology is rather...
Indefinite quadratic forms and unipotent flows on homogeneous spaces
Indice du normalisateur du centralisateur d’un élément nilpotent dans une algèbre de Lie semi-simple
L’indice d’une algèbre de Lie algébrique complexe est la codimension minimale de ses orbites coadjointes. Si est semi-simple, son indice, , est égal à son rang, . Le but de cet article est d’établir une formule générale pour l’indice de pour nilpotent, où est le normalisateur dans du centralisateur de . Plus précisément, on obtient le résultat suivant, conjecturé par D. Panyushev :où est le centre de . Panyushev obtient l’inégalité dans Panyushev 2003 et on montre que la maximalité...
Induced and amenable ergodic actions of Lie groups
Induced C*-Algebras and a Symmetric Imprimitivity Theorem.
Induced invariant Finsler metrics on quotient groups.
Induced representations and classification for and
Induced representations and duality results for commutative hypergroups.
Induced Representations and Hypergroup Homomorphisms.
Induced representations of completely solvable Lie groups
Induced representations of GL (n, A) for p-adic division algebras A.
Induced representations of groupoid crossed products.
Induced representations of hypergroups.
Induced representations of reductive -adic groups. I
Induced representations of reductive -adic groups. II. On irreducible representations of
Inducing spherical representations of semi-simple Lie groups [Book]
Inducing “supercuspidal” representations of unipotent -adic groups from compact-mod-center subgroups