The most degenerate representation matrix elements of finite rotations of SO(n−2, 2)

DOI10.1063/1.527126zbMath0602.22015OpenAlexW1984015051MaRDI QIDQ3737690

Ansaruddin Syed

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527126

zbMATH Keywords

finite rotationsmatrix elementsmost degenerate principal seriesSO(n-2,2)

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Irreducible unitary representations of the Lorentz group
• Euler angle parametrization of the complex rotation group and its subgroups. I
• Unitary representations of SO(n, 1)
• Wigner Coefficients for the R4 Group and Some Applications
• The representation matrix elements of the group O+(2,2)
• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Continuous Degenerate Representations of Noncompact Rotation Groups. II
• Lowering and Raising Operators for the Orthogonal Group in the Chain O(n) ⊃ O(n − 1) ⊃ … , and their Graphs
• Eigenfunction Expansions Associated with the Second-Order Invariant Operator on Hyperboloids and Cones. III
• Representation Theory of SP(4) and SO(5)
• Matrix Elements for the Most Degenerate Continuous Principal Series of Representations of SO(p, 1)
• On the Decomposition SO(p,1)⊃SO(p−1,1) for Most Degenerate Representations

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