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- W1999044229 abstract "A unified analysis of the state labelling problems for the d-row irreducible representations of U(n), when reduced with respect to either its orthogonal subgroup O(n) or its sympletic subgroup USp(n) (the latter in the even-n case), is carried out by using appropriate metrics and the complementarity relationship between the group O(n) and Sp(2d, R), or USp(n) and SO*(2d). In this way, a recently proposed canonical solution to the U(n) contains/implies O(n) state labelling problem is extended to the U(n) contains/implies USp(n) chain. This shows the equivalence between both these internal state labelling problems and the external state labelling problem for U(d), as expressed in Littlewood's branching rules for U(n) contains/implies O(n) and U(n) contains/implies USp(n)." @default.
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- W1999044229 date "1985-10-01" @default.
- W1999044229 modified "2023-10-14" @default.
- W1999044229 title "Reduction of the unitary group to its orthogonal or symplectic subgroup: a unified approach based upon complementary groups" @default.
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- W1999044229 doi "https://doi.org/10.1088/0305-4470/18/14/018" @default.
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