20 citations · 94 across the 26 of their papers we have counts for
32 papers
Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem
Paul-Emile Paradan
The main focus of this work is the study of several cones relating the eigenvalues or singular values of a matrix to those of its off-diagonal blocks.
The Horn cone associated with symplectic eigenvalues
Paul-Emile Paradan
In this note, we show that the Horn cone associated with symplectic eigenvalues admits the same inequalities as the classical Horn cone, except that the equality corresponding to T…
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.