Das Horrocks-Mumford-Bündel und das Modul-Schema für stabile 2-Vektorbündel über IP4 mit c1= -1, c2 = 4.
Das Syntheseproblem für invariante Distributionen.
Der Satz von Helson-Reiter für spezielle nilopotente Lie-Gruppen.
Differentiability and Approximate Differentiability for Intrinsic Lipschitz Functions in Carnot Groups and a Rademacher Theorem
A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups. Both seem to be the natural analogues inside Carnot groups of the corresponding Euclidean notions. Here ‘natural’ is meant to stress that the intrinsic notions depend only on the structure of the algebra of G. We prove that one codimensional intrinsic Lipschitz graphs are sets with locally finite G-perimeter....
Discrete Analogues of the Heisenberg-Weyl Algebra.
Discrete semigroups in nilpotent Lie groups.
Disintegration of monomial representations of nilpotent Lie groups. (Désintégration des représentations monomiales des groupes de Lie nilpotents.)
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.
Dual topology of a nilpotent Lie group
Dual topology of diamond groups.
Duality of Hodge numbers of compact complex nilmanifolds
A compact K¨ahlerian manifoldM of dimension n satisfies hp,q(M) = hq,p(M) for each p, q.However, a compact complex manifold does not satisfy the equations in general. In this paper, we consider duality of Hodge numbers of compact complex nilmanifolds.