3 citations · 3 across the 6 of their papers we have counts for
7 papers
Poisson transforms, the BGG complex, and discrete series representations of SU(n+1,1)
Andreas Cap, Christoph Harrach, Pierre Julg
The aim of this article is to construct specific Poisson transforms mapping differential forms on the sphere endowed with its natural CR structure to forms on complex hy…
Slow exponential growth representations of Sp(n, 1) at the edge of Cowling's strip
Pierre Julg, Shintaro Nishikawa
We obtain a slow exponential growth estimate for the spherical principal series representation rho_s of Lie group Sp(n, 1) at the edge (Re(s)=1) of Cowling's strip (|Re(s)|<1) on t…
The Baum-Connes conjecture: an extended survey
Maria Paula Gomez Aparicio, Pierre Julg, Alain Valette
We present a history of the Baum-Connes conjecture, the methods involved, the current status, and the mathematics it generated.
A Poisson transform adapted to the Rumin complex
Andreas Cap, Christoph Harrach, Pierre Julg
Let be a semisimple Lie group with finite center, a maximal compact subgroup, and a parabolic subgroup. Following ideas of P.Y.\ Gaillard, one may use…
The Bernstein-Gelfand-Gelfand complex for rank one semi simple Lie groups as a Kasparov module
Pierre Julg
We construct a Fredhom module representing the Kasparov gamma element in G-equivariant KK-theory for G a semisimple Lie group of real rank one. This is the main step of our proof o…
A new look at the Julg-Valette homotopy for groups acting on trees
Pierre Julg
We propose a new look at the Julg-Valette theorem on K-theoretic amenability for groups operating on trees. The main tool is a generalization of a construction of uniformly bounded…
The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus
Pierre Julg, Erik van Erp
We explore the geometry that underlies the osculating nilpotent group structures of the Heisenberg calculus. For a smooth manifold with a distribution analysts…