Complex structure contained in classical groups.
Compression Semigroups of Open Orbits on Real Flag Manifolds.
Constant term in Harish-Chandra’s limit formula
Let be a real form of a complex semisimple Lie group . Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of . We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open -orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’s limit formula for the delta function at zero.
Contact and conformal maps on Iwasawa N groups
The action of the conformal group on may be characterized in differential geometric terms, even locally: a theorem of Liouville states that a map between domains and in whose differential is a (variable) multiple of a (variable) isometry at each point of is the restriction to of a transformation , for some in . In this paper, we consider the problem of characterizing the action of a more general semisimple Lie group on the space , where is a parabolic subgroup. We solve...
Continuation of unitary derived functor modules out of the canonical chamber
Contraction of an adapted functional calculus.
Contraction semigroups and representations.
Contractions de groupes de Lie semi-simples sur le groupe de Poincaré généralisé
Contractions of to the Heisenberg group and Berezin calculus. (Contraction de vers le groupe de Heisenberg et calcul de Berezin.)
Control systems on semi-simple Lie groups and their homogeneous spaces
In the present paper, we consider the class of control systems which are induced by the action of a semi-simple Lie group on a manifold, and we give a sufficient condition which insures that such a system can be steered from any initial state to any final state by an admissible control. The class of systems considered contains, in particular, essentially all the bilinear systems. Our condition is semi-algebraic but unlike the celebrated Kalman criterion for linear systems, it is not necessary. In...
Controllability of right invariant systems on semi-simple Lie groups
We deal with controllability of right invariant control systems on semi-simple Lie groups. We recall the history of the problem and the successive results. We state the final complete result, with a sketch of proof.
Correction and Addition to Szegö Kernels Associated with Discrete Series.
Correspondence on characters of irreducible unitary representations of GL(n, ...).
Covariant differential operators.
Curved Casimir operators and the BGG machinery.
-modules and representation theory of Lie groups
Déformations éformations formelles de certaines représentations de l'algèbre de Lie d'un groupe de Poincaré généralisé
Degenerate principal series and compact groups.
Degenerate principal series representations of
Determinant functions and the geometry of the flag manifold for SU(p,q).