Unitary representations of SO(n, 1)

DOI10.1063/1.1666496zbMath0272.22015OpenAlexW1999193465MaRDI QIDQ3215181

M. K. F. Wong

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1063/1.1666496

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 (11)

The most degenerate representation matrix elements of finite rotations of SO(n−2, 2) ⋮ (Non-)unitarity of strictly and partially massless fermions on de Sitter space ⋮ Matrix elements of the generators of I U (n) and I O (n) and respective deformations to U (n,1) and O (n,1) ⋮ Modified symmetry generators related to solvable scattering problems ⋮ Eigenvalues of the invariant operators of the orthogonal and symplectic groups ⋮ Euler angle parametrization of the complex rotation group and its subgroups. I ⋮ Boost matrix elements and Clebsch–Gordan coefficients of the homogeneous Lorentz group ⋮ Lowering and raising operators of IU(n) and IO(n) and their normalization constants ⋮ Shift operators for discrete representations of O(p, q) ⋮ Mickelsson lowering operators for the symplectic group ⋮ The representation matrix elements of the group O+(2,2)

Cites Work

• Master analytic representations and unified representation theory of certain orthogonal and pseudo-orthogonal groups
• A note on the representations of the De Sitter group
• Irreducible unitary representations of the Lorentz group
• 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
• Unitary Irreducible Representations of the Groups SO(n, 1)
• Unit Adjoint Tensor Operators in SO(n)
• The Nagel-Moshinsky operators for U(p,1)⊃U(p)

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