Hyperdeterminantal relations among symmetric principal minors

Details Hyperdeterminantal relations among symmetric principal minors Hyperdeterminantal relations among symmetric principal minors

2006-04-17

arxiv.org/abs/math/0604374v2

Journal of Algebra, 316 (2007), no.2, 634-648

Mathematics

Rings and Algebras

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

Scientific paper

10.1016/j.jalgebra.2007.01.039

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.

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