Analytic / CONCEPT
Elliptic-Hyperbolic Reflection Trichotomy
Two-dimensional generators separate hyperbolic, neutral, and elliptic spectral sectors by determinant sign.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS1
The matrix determinant is the frozen reflected signed determinant
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Negative-Square Laplace Resolventstructural-affinity · Closed
- Reflected Growth Pair and Negative-Square Signed Determinantstructural-affinity · Closed
- Reflected Growth Pair and the Second-Order Negative Spectrumstructural-affinity · Closed
- Reflected Growth Pair Even-Odd Decompositionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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