Conformal Group in a Poincaré Basis. I. Principal Continuous Series

DOI10.1063/1.1665753zbMath0232.22024OpenAlexW2003440989MaRDI QIDQ5639949

N. W. Macfadyen

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665753

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (3)

Conformal group in a Poincaré basis. II. Principal discrete series ⋮ Decomposition of the Principal Series of Unitary Irreducible Representations of SU(2, 2) Restricted to the Subgroup SU(1,1)⊗SU(2) ⋮ The horospheric approach to harmonic analysis on a semi-simple Lie group

Cites Work

• Unitary irreducible representations of SU(2,2)
• On the reduction of the regular representation of The Poincaré group
• Analysis of space-time structure in elementary particle physics
• Unitary Representations of the Homogeneous Lorentz Group in an O(2, 1) Basis
• On transformations between basis vectors of unitarySL 2,C representations
• Discrete Degenerate Representations of Noncompact Rotation Groups. I
• Unitary Irreducible Representations of SU(2, 2). II
• Unitary representations of real simple Lie groups
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
• Unitary Irreducible Representations of SU(2, 2). III. Reduction with Respect to an Iso-Poincaré Subgroup
• The Reduction O(3,1)⊃O(2,1)⊃O(1,1)

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