Hyperdeterminantal relations among symmetric principal minors
Abstract
Description
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
12 pages; referee's suggestions incorporated, new section "Invariance and the Quartic Generation Conjecture" added