Center of Group Algebras.
Centered operators
Central Characters for Smooth Irreducible Modular Representations of
Central extensions of infinite-dimensional Lie groups
The main result of the present paper is an exact sequence which describes the group of central extensions of a connected infinite-dimensional Lie group by an abelian group whose identity component is a quotient of a vector space by a discrete subgroup. A major point of this result is that it is not restricted to smoothly paracompact groups and hence applies in particular to all Banach- and Fréchet-Lie groups. The exact sequence encodes in particular precise obstructions for a given Lie algebra...
Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.
Central sidonicity for compact Lie groups
It is known that the dual of a compact, connected, non-abelian group may contain no infinite central Sidon sets, but always does contain infinite central -Sidon sets for We prove, by an essentially constructive method, that the latter assertion is also true for every infinite subset of the dual. In addition, we investigate the relationship between weighted central Sidonicity for a compact Lie group and Sidonicity for its torus.
Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.
Changement de base pour les représentations tempérées des groupes réductifs réels
Changements de base explicites des représentations supercuspidales de
Soit un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de . C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de .
Character Connes amenability of dual Banach algebras
We study the notion of character Connes amenability of dual Banach algebras and show that if is an Arens regular Banach algebra, then is character Connes amenable if and only if is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras....
Character contractibility of Banach algebras and homological properties of Banach modules
Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.
Character formula for wreath products of compact groups with the infinite symmetric group
Let be the wreath product of a compact group T with the infinite symmetric group . We study the characters of factor representations of finite type of G, and give a formula which expresses all the characters explicitly.
Character theory of infinite wreath products.
Characteristic cycles and wave front cycles of representations of reductive Lie groups.
Characteristic Homomorphisms of Regular Lie Algebroids
Characteristic Homomorphisms of Regular Lie Algebroids
Characteristic points, rectifiability and perimeter measure on stratified groups
We establish an explicit connection between the perimeter measure of an open set with boundary and the spherical Hausdorff measure restricted to , when the ambient space is a stratified group endowed with a left invariant sub-Riemannian metric and denotes the Hausdorff dimension of the group. Our formula implies that the perimeter measure of is less than or equal to up to a dimensional factor. The validity of this estimate positively answers a conjecture raised by Danielli, Garofalo...
Characteristic varieties of character sheaves.
Characterization of cycle domains via Kobayashi hyperbolicity
A real form of a complex semi-simple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of which, with very few well-understood exceptions, are parameterized by the Wolf cycle domains in...
Characterization of -subcompactification
For extending the notion of -algebra, as defined in [2], we present an example of an m-admissible algebra which is not an - algebra. Then we define -subcompactification and -subcompactification to study the universal -subcompactification and the universal -subcompactification from the function algebras point of view.