Representation Theory of SO(4, 1) and E(3, 1): An Explicit Spinor Calculus

DOI10.1063/1.1664776zbMath0183.29002OpenAlexW2017566347MaRDI QIDQ5574701

Wayne J. III Holman

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1063/1.1664776

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

Limit of the most degenerate representations of SO(p,1) ⋮ Lie groups and homogeneous spaces ⋮ A unified treatment of the representation functions of SO(n,1), SO(n+1), and ISO(n)

Cites Work

• Master analytic representations and unified representation theory of certain orthogonal and pseudo-orthogonal groups
• Quantum theory in de-Sitter space
• The electron wave equation in De-Sitter space
• On unitary representations of the group of de Sitter space
• A note on the representations of the De Sitter group
• Classical limits of clebsch-gordan coefficients, racah coefficients and Dmnl (φ, ϑ, ψ)-functions
• Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis: Derivation for the Cases of Nonzero Mass and Zero Mass, Discrete Spin
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• Some simple R5 Wigner coefficients and their application
• Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group
• Representation Theory of SP(4) and SO(5)
• SPIN ½ WAVE EQUATION IN DE-SITTER SPACE
• The Representations of the Inhomogeneous Lorentz Group in Terms of an Angular Momentum Basis
• On the Contraction of Groups and Their Representations