Lowering operators and the symplectic group

DOI10.1016/0034-4877(72)90003-1zbMath0253.20068OpenAlexW2056776136MaRDI QIDQ2557795

Jouko Mickelsson

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0034-4877(72)90003-1

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Applications of group representations to physics and other areas of science (20C35) Applications of linear algebraic groups to the sciences (20G45)

Related Items (10)

Representation theory of the symplectic groups. I ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Polynomial representations of the symplectic groups ⋮ The most degenerate irreducible representations of the symplectic group ⋮ Missing label operators in the reduction Sp(2n) ↓Sp(2n−2) ⋮ Lowering operators for the reduction U(\(n\)) \(\downarrow\) SO (\(n\)) ⋮ Internal multiplicities in the Cartan classes ⋮ Step algebras of semi-simple subalgebras of Lie algebras ⋮ Mickelsson lowering operators for the symplectic group ⋮ A projection-based solution to the SP(2N) state labeling problem

Cites Work

• 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
• Branching Theorem for the Symplectic Groups
• An Explicit Basis for the Reduction U(n + m) ↓ U(n) × U(m)

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