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Relative property (T) and linear groups

Talia Fernós (2006)

Annales de l’institut Fourier

Relative property (T) has recently been used to show the existence of a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations. However, until recently there were few examples of group pairs with relative property (T) available through the literature. This motivated the following result: A finitely generated group $Γ$ admits a special linear representation with non-amenable $R$ -Zariski closure if and only if it acts on an Abelian group $A$ (of...

Représentations $l$ -adiques

Elisabeth Papier (1989)

Compositio Mathematica

Representations of $GS p (4)$ over a $p$ -adic field : part 1

Allen Moy (1988)

Compositio Mathematica

Representations of $GS p (4)$ over a $p$ -adic field : part 2

Allen Moy (1988)

Compositio Mathematica

Representations of $PGL (2)$ of a local field and harmonic cochains on graph

Paul Broussous (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

We give combinatorial models for non-spherical, generic, smooth, complex representations of the group $G = PGL (2, F)$ , where $F$ is a non-Archimedean locally compact field. More precisely we carry on studying the graphs ${({\tilde{X}}_{k})}_{k \geq 0}$ defined in a previous work. We show that such representations may be obtained as quotients of the cohomology of a graph ${\tilde{X}}_{k}$ , for a suitable integer $k$ , or equivalently as subspaces of the space of discrete harmonic cochains on such a graph. Moreover, for supercuspidal representations, these models...

Resolutions for smooth representations of the general linear group over a local field.

P. Schneider, U. Stuhler (1993)

Journal für die reine und angewandte Mathematik

Displaying 1 – 6 of 6

Relative property (T) and linear groups

Représentations l -adiques

Representations of GS p ( 4 ) over a p -adic field : part 1

Representations of GS p ( 4 ) over a p -adic field : part 2

Representations of PGL ( 2 ) of a local field and harmonic cochains on graph

Resolutions for smooth representations of the general linear group over a local field.

Currently displaying 1 – 6 of 6

Représentations $l$ -adiques

Representations of $GS p (4)$ over a $p$ -adic field : part 1

Representations of $GS p (4)$ over a $p$ -adic field : part 2

Representations of $PGL (2)$ of a local field and harmonic cochains on graph