Concept

Groupe réductif

Publications associées (251)

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Equivariant measurable liftings

Nicolas Monod

We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Mobius group of the projective line. Since the general proof is very simple but not explicit, we also provi ...

Polish Acad Sciences Inst Mathematics-Impan2015

Double centralizers of unipotent elements in simple algebraic groups of type $E_7$ and $E_8$

Iulian Ion Simion

This article addresses questions about the double centralizer of unipotent elements u in simple algebraic groups G of type and defined over algebraically closed fields of bad characteristic. We use the method developed in [14] to determine , deduce its dim ...

2015

Deciphering the Silent Participant. On the Use of Audio-Visual Cues for the Classification of Listener Categories in Group Discussions

Jean-Marc Odobez, Kenneth Alberto Funes Mora, Catharine Regina Monika Maria Oertel Genannt Bierbach

Estimating a silent participant’s degree of engagement and his role within a group discussion can be challenging, as there are no speech related cues available at the given time. Having this information available, however, can provide important insights in ...

ACM2015

Crowding, grouping, and gain control in schizophrenia

Michael Herzog, Maya Roinishvili

isual paradigms are versatile tools to investigate the pathophysiology of schizophrenia. Contextual modulation refers to a class of paradigms where a target is flanked by neighbouring elements, which either deteriorate or facilitate target perception. It i ...

Elsevier2015

The xi-stability on the affine grassmannian

Zongbin Chen

We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient ( ...

Springer Heidelberg2015

Amenable hyperbolic groups

Nicolas Monod

We give a complete characterization of the locally compact groups that are nonelementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover gi ...

European Mathematical Soc2015

Quasi-hereditary property of double Burnside algebras

Baptiste Thierry Pierre Rognerud

In this short note, we investigate some consequences of the vanishing of simple biset functors. As a corollary, if there is no non-trivial vanishing of simple biset functors (e.g., if the group G is commutative), then we show that kB(G,G) is a quasi-heredi ...

Elsevier2015

Embedding functor for classical groups and Brauer–Manin obstruction

Eva Bayer Fluckiger, Ting-Yu Lee

Let K be a global field of characteristic not 2. The embedding problem for maximal tori in a classical group G can be described in terms of algebras with involution. The aim of this paper is to give an explicit description of the obstruction group to the H ...

2015

Small Spectral Radius And Percolation Constants On Non-Amenable Cayley Graphs

Motivated by the Benjamini-Schramm non-unicity of percolation conjecture we study the following question. For a given finitely generated nonamenable group Gamma, does there exist a generating set S such that the Cayley graph (Gamma, S), without loops and m ...

American Mathematical Society2015

Diophantine properties of nilpotent Lie groups

A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ba ...

London Mathematical Society, Cambridge2015