Original ledger status
GATE.UWALL.17
GATE.UWALL.17
LIE-LEVEL GROUNDING of the exterior leg (no special math): the carrier half-spinor is the even exterior algebra 16=Lambda^even(5)=C(5,0)+C(5,2)+C(5,4)=1+10+5 (already in CAR.SM.01). Under SU(5)<SO(10): u^c in 10=Lambda^2(5), d^c in 5bar=Lambda^4(5) => exterior degrees deg(u)=2, deg(d)=4; deg(u)+deg(d)=6=|R+(A3)| (hexagon), deg(d)-deg(u)=2=|Z2| (sheet); up Yukawa family-symmetric Sym^2 dim6, down general dim9=N_fam^2. So the 'Lambda^2 exterior leg' is the carrier's OWN Lambda^2 grading (up quark lives in Lambda^2(5)), NOT exotic Hodge data => discrete invariant re-typed to carrier exterior DEGREE [L]. HONEST: grounds the TYPE; Plucker number 55/117 stays family Pl(K) [I]; carrier-L2<->family-L2F link (family x carrier=15) + normalisation remain [P]
Recorded status: Lattice/Lie [L] (typing) + [P] (normalisation)
Dependencies, status detail and source
Canonical status: Lattice/Lie [L] (typing) + [P] (normalisation)
Dependencies: GATE.UWALL.15; CAR.SM.01; SU(5)<SO(10)
Scripts: v44_carrier_exterior.py
Location: tfpt_research_contracts;tfpt_2
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