English

The Horn cone associated with symplectic eigenvalues

Symplectic Geometry 2022-02-22 v1

Abstract

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 Tr(C) = Tr(A)+Tr(B) is replaced by the inequality corresponding to Tr(C) \ge Tr(A)+Tr(B).

Cite

@article{arxiv.2202.10260,
  title  = {The Horn cone associated with symplectic eigenvalues},
  author = {Paul-Emile Paradan},
  journal= {arXiv preprint arXiv:2202.10260},
  year   = {2022}
}
R2 v1 2026-06-24T09:47:53.045Z