English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A complementary group to SU(n) is found that realizes all features of theLittlewood rule for Kronecker products of SU(n) representations. This isaccomplished by considering a state of SU(n) to be a special Gel'fand state ofthe complementary group {\cal U}(2n-2). The labels of {\cal U}(2n-2) can beused as the outer multiplicity labels needed to distinguish multipleoccurrences of irreducible representations (irreps) in the SU(n)\timesSU(n)\downarrow SU(n) decomposition that is obtained from the Littlewood rule.Furthermore, this realization can be used to determine SU(n)\supsetSU(n-1)\times U(1) Reduced Wigner Coefficients (RWCs) and Clebsch-GordanCoefficients (CGCs) of SU(n), using algebraic or numeric methods, in either thecanonical or a noncanonical basis. The method is recursive in that it usessimpler RWCs or CGCs with one symmetric irrep in conjunction with standardrecoupling procedures. New explicit formulae for the multiplicity for SU(3) andSU(4) are used to illustrate the theory.Comment: 15 pages, LaTe

Complementary group resolution of the SU(n) outer multiplicity problem. I. The Littlewood rules and a complementary U(2n−2) group structure