Moment polytopes in real symplectic geometry II : applications to singular value inequalities

Paul-Emile Paradan (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

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 conditions. In particular, we study the singular Horn cone which is the counterpart of the classical Horn cone, where the eigenvalues of Hermitian square matrices are replaced by the singular values of rectangular matrices.

Domaines: Géométrie différentielle [math.DG]; Géométrie symplectique [math.SG]; Théorie des représentations [math.RT]

Paul-Emile Paradan. Moment polytopes in real symplectic geometry II : applications to singular value inequalities. 2021. ⟨hal-03450349⟩