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 (4)

• Determinantal Processes and Independence
• Open problems on GKK tau-matrices
• Not all GKK $\tau$-matrices are stable
• Negatively correlated random variables and Mason's conjecture

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