4 problems

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Sufficiency of the naive inequalities for the Lagrangian Grassmannian
Let the Lagrangian Grassmannian be the homogeneous space considered in the paper, and let the naive inequalities be the necessary inequalities obtained from Proposition. A collecti…
Conjectureopenhorn-inequalities lagrangian-grassmannian schubert-calculusarXiv posted 2 days ago
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Strong self-characterisation minimality conjecture for the asymptotic Horn system
Let $\mathscr{H}[0,1]$ be the asymptotic Horn system, viewed as a subset of the ambient set $\mathcal{M}$ with the relation $\Vdash$ . A subset $E\subset\mathscr{H}[0,1]$ uniquely d…
Conjectureopenfunctional-analysis horn-inequalitiesarXiv posted 2 days ago
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Strong self-characterisation uniqueness conjecture for the asymptotic Horn system
The asymptotic Horn system is a self-characterising set in a relation-theoretic framework, with weak and strong self-characterisation distinguished according to the surrounding def…
Conjectureopenfunctional-analysis horn-inequalitiesarXiv posted 2 days ago
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The extended Horn inequalities conjecture for Newell–Littlewood numbers
Extended Horn inequalities conjecture. If $(\mu,\nu,\lambda)\in{\sf Par}_n^3$ satisfies the parity condition and every extended Horn inequality indexed by…
Conjectureopenhorn-inequalities representation-theory symmetric-functionsarXiv posted 2 days ago

Sufficiency of the naive inequalities for the Lagrangian Grassmannian