Discrete cocompact subgroups of the five-dimensional connected and simply connected nilpotent Lie groups.
Discrete decomposability of the restriction of A ... with respect to reductive subgroups and its applications.
Discrete groups of affine isometries.
Discrete semigroups in nilpotent Lie groups.
Discrete series representations of unipotent -adic groups.
Discrete spectrum of the reductive dual pair (O(p,q), Sp(2m)).
Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)
Diskrete Untergruppen von SL2 (IR).
Dispersive and Strichartz estimates on H-type groups
Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as ) and the Schrödinger equation (decay as ), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.
Distal affine transformation groups.
Distal automorphism groups of Lie groups.
Distinguished representations and a Fourier summation formula
Distinguished Representations and Modular Forms of Half-integral Weight.
Distribution de points sur une sphère
Distributions of Positive Type and Representations of Lie Groups.
Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
Dual Blobs and Plancherel Formulas
Let be a -adic field. Let be the group of -rational points of a connected reductive group defined over , and let be its Lie algebra. Under certain hypotheses on and , wequantifythe tempered dual of via the Plancherel formula on , using some character expansions. This involves matching spectral decomposition factors of the Plancherel formulas on and . As a consequence, we prove that any tempered representation contains a good minimal -type; we extend this result to irreducible...
Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.
Dual pairs and Kostant-Sekiguchi correspondence. II. Classification of nilpotent elements
We classify the homogeneous nilpotent orbits in certain Lie color algebras and specialize the results to the setting of a real reductive dual pair. For any member of a dual pair, we prove the bijectivity of the two Kostant-Sekiguchi maps by straightforward argument. For a dual pair we determine the correspondence of the real orbits, the correspondence of the complex orbits and explain how these two relations behave under the Kostant-Sekiguchi maps. In particular we prove that for a dual pair in...
Dual topology of a nilpotent Lie group