Certificates / CONCEPT
Noncommuting deformed Jucys--Murphy operators on the cyclic orbit
Coulter and Do's b-deformed Jucys--Murphy operators fail to commute on the cyclic orbit X(6). The word J_6 J_6 J_5 J_4 J_3 applied to the identity pair partition gives unequal coefficients after J_2 J_4 and J_4 J_2.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
Refutation on X(6)
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
- Band Switching and Expectation Symmetrystructural-affinity · Closed
- Combinatorics: Deformed Jucys Murphy Chargestructural-affinity · Closed
- Combinatorics: Deformed Jucys Murphy Walkstructural-affinity · Closed
- Complete Components and Rotation Coordinatesstructural-affinity · Closed
- Finite Alternating Paths and Endpoint Pairingstructural-affinity · Closed
- Native Matching Surgery and Ordered Joinsstructural-affinity · Closed
- Native Rotation Cuts and Their Occurrencesstructural-affinity · Closed
- Product Orbits of Two Perfect Matchingsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance