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>On general forms for structure of some n−1, 1 ⊗ λLnninner tensor products with 6 ≤n≤ 20, (60) forneven, in the context of spin cluster problems of multiquantum NMR
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On general forms for structure of some n−1, 1 ⊗ λLnninner tensor products with 6 ≤n≤ 20, (60) forneven, in the context of spin cluster problems of multiquantum NMR
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机译:On general forms for structure of some n−1, 1 ⊗ λLnninner tensor products with 6 ≤n≤ 20, (60) forneven, in the context of spin cluster problems of multiquantum NMR
Consideration ofLngroups for n even and between 6 ≤n:≤ 20, (60) is consistent with the existence (over a simply reducible (SR) space) of certain similarities in the inner tensor product (ITP) structures associated with -p≤ 2 n-1, 1 ⊗ λ., or -⊗ (n/2)2 products, and for general (even)nfor n-1, 1 ⊗ n - 2, 12 ITPs, but not for ITPs involving higher generalm(p≤ 3) components, as in n-1, 1 ⊗ n-m, m-1, 1.These observations provide considerable insight into the nature of van der Waals (3 ≤ n ≤ 20), metallic-, or “met-carb-” clusters andn= 12, 20 cage molecules analogous to dodecahedrane (a cage,n= 20 molecule) or13C buckminsterfullerene(ane) (n= 60) An, AXnclusters, besides allowing for further combinatorial views on higherLngroup characters and their associated group algebra. Mathematical insight to date into the nature of general ITPs involvingnon-SRdirect sums has proved less fruitful on account of the number of component partitions spanned by specific TTP maps and their a
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