The Capelli identity and unitary representations
The Cauchy Harish-Chandra Integral, for the pair
For the dual pair considered, the Cauchy Harish-Chandra Integral, as a distribution on the Lie algebra, is the limit of the holomorphic extension of the reciprocal of the determinant. We compute that limit explicitly in terms of the Harish-Chandra orbital integrals.
The characteristic cycles of holonomic systems on a flag manifold.
The Characters of Discrete Series as Orbital Integrals.
The Characters of some Representations of Harish-Chandra.
The classification of all simple Lie groups with surjective exponential map.
The classification of global Lie wedges in sl(2).
The Clebsch-Gordan coefficients with respect to various bases for unitary and orthogonal representations of and .
The Clifford algebra and the Spinor group of a Hilbert space
The closure diagrams for nilpotent orbits of real forms of .
The combinatorics of Harish-Chandra bimodules.
The compression semigroup of a cone is connected.
The cyclic homology of p-adic reductive groups.
The decomposition of
The density of the image of the exponential function and spacious locally compact groups.
The diffeomorphism group of a Lie foliation
We describe explicitly the group of transverse diffeomorphisms of several types of minimal linear foliations on the torus , . We show in particular that non-quadratic foliations are rigid, in the sense that their only transverse diffeomorphisms are and translations. The description derives from a general formula valid for the group of transverse diffeomorphisms of any minimal Lie foliation on a compact manifold. Our results generalize those of P. Donato and P. Iglesias for , P. Iglesias and...
The diffeomorphism group of a non-compact orbifold [Book]
The differential form method for finding symmetries.
The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.
The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group