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Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property $(T)$ . For any such group, $G$ , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice $Γ$ in $G$ are obtained, for a “geometric” generating set of the form $Γ \cap B_{r}$ , where $B_{r} \subset G$ is a ball of radius $r$ , and the dependence of $r$ on $Γ$ is described explicitly....

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1-cohomologie des représentations unitaires des groupes de Lie semi-simples et résolubles. Produits tensoriels continus de représentations

A non-seperable measureable choice principle related to induced representations.

A proof of the Mackey-Blattner-Nielsen theorem.

Applications de la p-induction en analyse harmonique.

Commutativity of intertwining operators for semisimple groups

Covariant differential operators.

Degenerate principal series for orthogonal groups.

Die Frobeniuseigenschaft FP für diskrete Gruppen.

Discrete decomposability of the restriction of A ... with respect to reductive subgroups and its applications.

Distributions of Positive Type and Representations of Lie Groups.

Explicit Hilbert spaces for certain unipotent representations.

Explicit Kazhdan constants for representations of semisimple and arithmetic groups

Extensions de plusieurs représentations des groupes produits semi-directs

Fell’s subgroup algebra for locally compact abelian groups and $L^{1}$ -covariance algebras

Induced C*-Algebras and a Symmetric Imprimitivity Theorem.

Induced representations and classification for $G S p (2, F)$ and $S p (2, F)$

Induced representations and duality results for commutative hypergroups.

Induced Representations and Hypergroup Homomorphisms.

Induced representations of completely solvable Lie groups

Induced representations of groupoid crossed products.

Currently displaying 1 – 20 of 53