Lowering and raising operators of IU(n) and IO(n) and their normalization constants

DOI10.1063/1.524105zbMath0415.22023OpenAlexW1983420413MaRDI QIDQ3050660

M. K. F. Wong, Hsin-Yang Yeh

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524105

zbMATH Keywords

normalization constantsshift operatorsrepresentations of Lie groupslowering and raising operators

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) General properties and structure of real Lie groups (22E15)

Related Items

Explicit evaluation of the representation functions of ISO(n) ⋮ General U(N) raising and lowering operators

Cites Work

• Invariant operators of IU(n) and IO(n) and their eigenvalues
• Unitary representations of SO(n, 1)
• Eigenvalues of the invariant operators of the orthogonal and symplectic groups
• U(n) lowering operators
• Raising and lowering operators for the orthogonal groups
• Normalization coefficients for the O(n) shift operators
• 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
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)