Combinatorics / CONCEPT
Sharp multiplicity weights of integer partitions
The multiplicity weight of a positive integer partition has six exceptional maxima and equals the factorial maximum from dimension seven onward. The maxima absorb a factorial of the remaining dimension with a shift by one.
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DIRECT CONSEQUENCES2
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The factorial bound
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Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
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Certified topology / DOWNSTREAM
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RELATED KNOWLEDGE
Structural connections
- A canonical quotient of a directed relationstructural-affinity · Closed
- Algebra automorphisms and the canonical support quotientstructural-affinity · Closed
- Attaining permutation algebrasstructural-affinity · Closed
- Basis transport and the full algebra groupstructural-affinity · Closed
- Full permutation multiplicitiesstructural-affinity · Closed
- Minimal perfect Jordan-block algebrasstructural-affinity · Closed
- Orthogonal pointwise stabilizersstructural-affinity · Closed
- Root factors of successor cyclesstructural-affinity · Closed
- Square-zero subspaces and evolution embedding dimensionstructural-affinity · Closed
- The simple evolution algebra automorphism maximumstructural-affinity · Closed
- The universal sharp upper boundstructural-affinity · Closed
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