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Hopf algebras, distributive (Laplace) pairings and hash products: a unified approach to tensor product decompositions of group characters

Bertfried Fauser, Peter D Jarvis and Ronald C King
Journal of Physics A: Mathematical and Theoretical 47 (20) 205201 (2014)
https://doi.org/10.1088/1751-8113/47/20/205201

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

F.P. Temme
Journal of Mathematical Chemistry 31 (3) 281 (2002)
https://doi.org/10.1023/A:1020888105557

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*

F. P. Temme
International Journal of Quantum Chemistry 90 (1) 155 (2002)
https://doi.org/10.1002/qua.942

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

F. P. Temme
International Journal of Quantum Chemistry 89 (5) 429 (2002)
https://doi.org/10.1002/qua.10311

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

F. P. Temme
International Journal of Quantum Chemistry 87 (4) 171 (2002)
https://doi.org/10.1002/qua.1113

Alternating (2), (11) sequential discrimination in the {c⊗[λ],[λ′][λ′]} decompositional mappings defining the bipartite ((n=2μ)−limit)⊗[μ](Sn) inner phlethsyms

F.P. Temme
Journal of Molecular Structure: THEOCHEM 547 (1-3) 153 (2001)
https://doi.org/10.1016/S0166-1280(01)00467-5