Matrix elements of the generators of I U (n) and I O (n) and respective deformations to U (n,1) and O (n,1)

DOI10.1063/1.522607zbMath0301.22014OpenAlexW2065473665MaRDI QIDQ4056232

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

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522607

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Invariant operators of IU(n) and IO(n) and their eigenvalues, Boost matrix elements and Clebsch–Gordan coefficients of the homogeneous Lorentz group, Explicit evaluation of the representation functions of ISO(n), General U(N) raising and lowering operators, Explicit evaluation of the representation functions of IU(n)

Cites Work

• A classification of the unitary irreducible representations of \(SO_ 0 (N,1)\)
• A classification of the unitary irreducible representations of \(\mathrm{SU}(N,1)\)
• Unitary representations of SO(n, 1)
• On infinitesimal operators of irreducible representations of the Lorentz group of $n$-th order
• An extension theorem for inhomogeneous rotation groups
• 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
• Some Observations on Enveloping Algebras of Noncompact Groups
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• Finite-dimensional irreducible representations of the unitary and the full linear groups, and related special functions
• Unitary Irreducible Representations of the Groups SO(n, 1)
• The U n,1 and IUn Representation Matrix Elements