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Quasi-Particle Dual Mappings on
$$\widetilde{\mathbb{H}}_v$$
Carrier Spaces for Dynamical Structures of S
2n
-Invariant-Based, Integer-Rank Tensorial Sets: A Democratic-Recoupling S
2n
-Compatible Overview of v-Auxiliary Labelling in Superboson Algebras of Uniform Multispin NMR Ensembles
SU(3)×𝒮20 algebras for uniform spin‐1 ensembles on [2H12C]20, or [14N]20, dodecahedrane‐type lattices and analogous isotopomeric [M2012C40] met‐carb subensembles: M‐based cardinalities and completeness of 𝒮20 spin irreps, via hierarchical {𝒞λ⊢(n=20):(M)} designs of polyhedral combinatorics*
Structural signs and carrier completeness of Liouvillian quasiparticle algebras: Dual group invariants for explicit 𝒮n‐auxiliary tensor labels via projective mappings applicable to [A]n≤20 NMR spin ensembles
On Uniform (1≤Ii≤3) n‐fold {∣IouterM(i1⋅⋅⋅in)〉} dual tensorial sets, spin irreps from SU(3≤m)×𝒮n⊃⋅⋅⋅⊃𝒮n weight sets: a direct role for 𝒩(λ⊢n)‐partitional catalogs of 𝒮n combinatorics in spin physics