Induced representations of completely solvable Lie groups

We show that every amenable ergodic action of a real algebraic group or a connected semi-simple Lie group with finite center is induced from an action of an amenable subgroup (which

In Section 6, we prove that any analytic representation of a semi-simple Lie group in a finite-dimensional space is banal, and that any analytic representation of a nilpotent Lie

ANNALES SCIENTIFIQUES DE L'ECOLE NORMALE SUPERIEURE 61.. We begin to prove our Lemmas. — Use the Bruhat decomposition.. For the computation of the functor F from 2.12 use the

Thus given a finite dimensional vector space V, an alternating bilinear form 8 on V and a finitely generated subgroup G of V* we can form the twisted group ring Ug ( v ) # kG and

For instance, by what we saw above, the left (or right) regular representation of a connected solvable Lie group always has this property. Our results imply, that an « overwhelming

for compact semisimple Lie groups an irreducible representation is completely determined by its infinitesimal character, but that this is far from true for nilpotent Lie

Our object of study is the decomposition of unitarily induced modules of U(m, n) from derived functor modules (We call such induced modules generalized unitary

This paper deals with irreducible continuous unitary representations of G into non-archimedian Banach spaces over W.. It is important to be able to describe all those