The characteristic identities and reduced matrix elements of the unitary and orthogonal groups

DOI10.1017/S1446181100001784zbMath0411.22019MaRDI QIDQ4198963

Mark D. Gould

Publication date: 1978

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

irreducible representationLie algebrauniversal enveloping algebraspectral resolution

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Lie algebras of Lie groups (22E60) Lie algebras of linear algebraic groups (17B45)

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Invariants and reduced Wigner coefficients for quasi-triangular Hopf superalgebras ⋮ Invariants and matrix elements of the quantum group $U_q[gl(n,\mathbb{C})$ revisited] ⋮ Reduced Wigner coefficients for Lie superalgebragl(m|n) corresponding to unitary representations and beyond ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Lie groups ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ General U(N) raising and lowering operators ⋮ Wigner coefficients for a semisimple Lie group and the matrix elements of the O(n) generators ⋮ A projection-based solution to the SP(2N) state labeling problem ⋮ Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)

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