On Manifolds Locally Modelled on Non-Riemannian Homogeneous Spaces.
On minimal parabolic subgroups of exponential Lie groups.
On modules over the Hecke algebra of a p-adic group.
On multiplicities of simple subquotients in generalized Verma modules
We reduce the problem on multiplicities of simple subquotients in an -stratified generalized Verma module to the analogous problem for classical Verma modules.
On nets of local algebras on , covariant with respect to the discrete Poincaré group ; causality and scattering theory
On Non-Compact Complex Nil-Manifolds.
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.
On Ol'shanskii's semigroup.
On operators satisfying the Rockland condition
Let G be a homogeneous Lie group. We prove that for every closed, homogeneous subset Γ of G* which is invariant under the coadjoint action, there exists a regular kernel P such that P goes to 0 in any representation from Γ and P satisfies the Rockland condition outside Γ. We prove a subelliptic estimate as an application.
On parabolic Whittaker functions II
We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N. Our key tool is a generalization of the Whittaker model for principal series U(gl N)-modules, and its realization in the space of functions of totally positive unipotent matrices. In particular, our construction involves a representation theoretic derivation of the Batyrev-Ciocan-Fontanine-Kim-van...
On parametrization of the linear and unitary groups in terms of Dirac matrices.
On Poincaré Duality Groups of Poly-Linear Type and Their Realisations.
On porcupine varieties in Lie algebras.
On positive Rockland operators
Let G be a homogeneous Lie group with a left Haar measure dg and L the action of G as left translations on . Further, let H = dL(C) denote a homogeneous operator associated with L. If H is positive and hypoelliptic on we prove that it is closed on each of the -spaces, p ∈ 〈 1,∞〉, and that it generates a semigroup S with a smooth kernel K which, with its derivatives, satisfies Gaussian bounds. The semigroup is holomorphic in the open right half-plane on all the -spaces, p ∈ [1,∞]. Further extensions...
On Primary Ideals in the Group Algebra of a Nilpotent Lie Group.
On quaternionic discrete series representations, and their continuations.
On rank one symmetric space
In this paper we survey some recent results on rank one symmetric space.
On Riemann-Poisson Lie groups
A Riemann-Poisson Lie group is a Lie group endowed with a left invariant Riemannian metric and a left invariant Poisson tensor which are compatible in the sense introduced in [4]. We study these Lie groups and we give a characterization of their Lie algebras. We give also a way of building these Lie algebras and we give the list of such Lie algebras up to dimension 5.
On Rossmann's Character Formula for Discrete Series.
On -equivariant homology.