10 citations · 11 across the 3 of their papers we have counts for
10 papers
On the spectral theory of groups of automorphisms of -adic nilmanifolds
Bachir Bekka, Yves Guivarc'h
Let for prime integers Let be an -adic compact nilmanifold, equipped with the unique translation invariant probability meas…
The Plancherel formula for countable groups
Bachir Bekka
We discuss a Plancherel formula for countable groups, which provides a canonical decomposition of the regular representation of such a group into a direct integral of factor re…
On unitary representations of algebraic groups over local fields
Bachir Bekka, Siegfried Echterhoff
Let be an algebraic group over a local field of characteristic zero. We show that the locally compact group consisting of the $\math…
Characters of algebraic groups over number fields
Bachir Bekka, Camille Francini
Let be a number field, an algebraic group defined over , and the group of -rational points in We determine the set of functions…
Unitary representations of groups, duals, and characters
Bachir Bekka, Pierre de la Harpe
This is an expository book on unitary representations of topological groups, and of several dual spaces, which are spaces of such representations up to some equivalence. The most i…
Character rigidity of simple algebraic groups
Bachir Bekka
We prove the following extension of Tits' simplicity theorem. Let be an infinite field, an algebraic group defined and quasi-simple over and the group of -ra…