Eigenstructure / CONCEPT
Common Eigenvalue Field Degree
A common nonzero eigenvector over an extension field bounds the degree of the field generated by an arbitrary family of eigenvalues.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
The entire eigenvalue field has degree at most the matrix size
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Actual Hecke Coefficient Field Degreestructural-affinity · Closed
- Actual Prime Hecke Actionstructural-affinity · Closed
- Integer Array Hecke Algorithmstructural-affinity · Closed
- Integral Analytic Discriminantstructural-affinity · Closed
- Integral Miller Basis and Coefficient Latticestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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