A recursive method for the construction of irreducible representations of the orthogonal group O(n)

DOI10.1063/1.532703zbMath1028.17004OpenAlexW2044678608MaRDI QIDQ4701735

Nir Barnea

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532703

zbMATH Keywords

algorithmClebsh-Gordon coefficientsGel'fand-Zetlin states

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Exactly complete solutions of the pseudoharmonic potential in \(N\)-dimensions

Cites Work

• Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.
• Non-spurious harmonic oscillator states with arbitrary symmetry
• Collectivity and geometry. I. General approach
• Collectivity and geometry. II. The two-dimensional case
• Collectivity and geometry. III. The three-dimensional case in the Sp(6)⊇Sp(2)×𝒪(3) chain for closed shells
• Coefficients of fractional parentage in the L–S coupling scheme
• A new approach to the eigenvalues of the Gel’fand invariants for the unitary, orthogonal, and symplectic groups
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Linear Canonical Transformations and Their Unitary Representations

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