Regular orbital measures on Lie algebras
Let H₀ be a regular element of an irreducible Lie algebra , and let be the orbital measure supported on . We show that if and only if k > dim /(dim - rank ).
Relative Invarianten und nicht-assoziative Algebren.
Représentations des groupes de Lie nilpotents
Representations of semisimple groups associated to nilpotent orbits
Revêtements «spinoriels» du groupe symplectique et indices de Maslov
Rigid Two-Step Nilpotent Lie Groups relative to Multicontact Structures
Rings of regular functions on nilpotent orbits and their covers.
Rodrigues-type formulae for Hermite and Laguerre polynomials.
Semigroups in the universal covering of SL(2).
Sharp pointwise estimate for the kernels of the semigroup generated by sums of even powers of vector fields on homogeneous groups
Simple facts about analytic vectors and integrability
Some relations among volume, intrinsic perimeter and one-dimensional restrictions of functions in Carnot groups
Let be a -step Carnot group. The first aim of this paper is to show an interplay between volume and -perimeter, using one-dimensional horizontal slicing. What we prove is a kind of Fubini theorem for -regular submanifolds of codimension one. We then give some applications of this result: slicing of functions, integral geometric formulae for volume and -perimeter and, making use of a suitable notion of convexity, called-convexity, we state a Cauchy type formula for -convex sets. Finally,...
Sums of adjoint orbits.
Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature.
Sur certaines représentations locales de l’algèbre de Lie et de l’algèbre de Lie du groupe de Poincaré
Sur la représentation coadjointe des algèbres de Lie résolubles.
Sur le type principal d'orbites d'un module rationnel
Sur les extensions des représentations irréductibles des groupes de Lie nilpotents
Sur les orbites de la représentation coadjointe
The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group