20 citations · 94 across the 26 of their papers we have counts for
14 papers · 1 filter
Moment polytopes in real symplectic geometry II : applications to singular value inequalities
Paul-Emile Paradan
In this work, we study some convex cones associated to isotropic representations of symmetric spaces. We explain the inequalities that describe them by means of cohomological condi…
Moment polytopes in real symplectic geometry I
Paul-Emile Paradan
Let Z be the real part of a K{ä}hler Hamiltonian manifold M. The O'Shea-Sjamaar's Theorem tells us that the moment polytope Delta(Z) corresponds to the anti-invariant part of the K…
Horn(p,q)
Paul-Emile Paradan
In this article, we obtain a recursive description of the Horn cone Horn(p,q) with respect to the integers p and q, as in the classical Horn's conjecture.
Horn problem for quasi-hermitian Lie groups
Paul-Emile Paradan, Paul-Émile Paradan
In this paper, we prove some convexity results associated to orbit projection of non-compact real reductive Lie groups.
The equivariant index of twisted dirac operators and semi-classical limits
Paul-Emile Paradan, Michele Vergne
Consider a spin manifold M, equipped with a line bundle L and an action of a compact Lie group G. We can attach to this data a family Theta(k) of distributions on the dual of the L…
Formal Geometric Quantization III, Functoriality in the spin-c setting
Paul-Emile Paradan
In this paper, we prove a functorial aspect of the formal geometric quantization procedure of non-compact spin-c manifolds.