Hyperdeterminantal relations among symmetric principal minors

Abstract

The principal minors of a symmetric $n\times n$-matrix form a vector of length $2^n$. We characterize these vectors in terms of algebraic equations derived from the $2\times 2\times 2$-hyperdeterminant.

12 pages; referee's suggestions incorporated, new section "Invariance and the Quartic Generation Conjecture" added

References in corpus (1)

• Negatively correlated random variables and Mason's conjecture

Cited by in corpus (4)

• Perturbation Theory Without Diagrams: The Polaron Case
• Negative dependence and the geometry of polynomials
• Polynomial relations among principal minors of a 4x4-matrix
• Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products