On the closure of the bicyclic semigroup.
On the Cohomology of a Hyperfine Action.
On the combinatorial Kashiwara-Vergne conjecture. (Sur la conjecture combinatoire de Kashiwara-Vergne.)
On the Commutator Subgroup of a Nonconnected Central Group.
On the completeness of a topological group of functions.
On the completeness of localic groups
The main purpose of this paper is to show that any localic group is complete in its two-sided uniformity, settling a problem open since work began in this area a decade ago. In addition, a number of other results are established, providing in particular a new functor from topological to localic groups and an alternative characterization of -groups.
On the complex and convex geometry of Ol'shanskii semigroups
To a pair of a Lie group and an open elliptic convex cone in its Lie algebra one associates a complex semigroup which permits an action of by biholomorphic mappings. In the case where is a vector space is a complex reductive group. In this paper we show that such semigroups are always Stein manifolds, that a biinvariant domain is Stein is and only if it is of the form , with convex, that each holomorphic function on extends to the smallest biinvariant Stein domain containing ,...
On the complex geometry of invariant domains in complexified symmetric spaces
Let be a real symmetric space and the corresponding decomposition of the Lie algebra. To each open -invariant domain consisting of real ad-diagonalizable elements, we associate a complex manifold which is a curved analog of a tube domain with base , and we have a natural action of by holomorphic mappings. We show that is a Stein manifold if and only if is convex, that the envelope of holomorphy is schlicht and that -invariant plurisubharmonic functions correspond to convex -invariant...
On the complicatedness of the pair (g,K).
On the composition structure of the twisted Verma modules for
We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra , including the explicit structure of singular vectors for both and one of its Lie subalgebras , and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as -modules on the Schubert cells in the full flag manifold for .
On the congruence extension property for compact semigroups.
On the congruence subgroup problem, II.
On the Conjugation Representation of a Locally Compact Group.
On the construction of fundamental solutions for differential operators on nilpotent groups
On the continuity of convolution semigroups.
On the contraction of the discrete series of
It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group can be obtained via contraction from the discrete series of representations of .
On the Corwin-Greenleaf conjecture. (Sur la conjecture de Corwin-Greenleaf.)
On the decacy of matrix coefficients for exceptional groups.
On the decomposition of Haar measure in compact groups
On the Definition of Transfer Factors.