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math.DG2020★ 1 cited
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…
math.DG2020
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.
math.DG2020
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.