Lowering operators for the reduction U(\(n\)) \(\downarrow\) SO (\(n\))

DOI10.1016/0034-4877(73)90007-4zbMath0258.22019OpenAlexW1972184313MaRDI QIDQ2559732

Jouko Mickelsson

Publication date: 1973

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(73)90007-4

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

Gelfand–Tsetlin Bases for Classical Lie Algebras

Cites Work

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• Lowering operators and the symplectic group
• Group theory of harmonic oscillators
• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• General Approach to Fractional Parentage Coefficients
• An Explicit Basis for the Reduction U(n + m) ↓ U(n) × U(m)
• Modification Rules and Products of Irreducible Representations of the Unitary, Orthogonal, and Symplectic Groups

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