One-Parameter Subgroups of Unitary Groups with Indefinite Metric and in Particular of the Conformal Group

DOI10.1063/1.1665674zbMath0216.34602OpenAlexW1992959965MaRDI QIDQ5619938

Pavel Winternitz, Johan Gijsbertus Frederik Belinfante

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1063/1.1665674

Mathematics Subject Classification ID

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

Related Items (6)

The maximal solvable subgroups of the SU(p,q) groups and all subgroups of SU(2,1) ⋮ Continuous subgroups of the fundamental groups of physics. II. The similitude group ⋮ Normal forms of elements of classical real and complex Lie and Jordan algebras ⋮ Maximal abelian subalgebras of real and complex symplectic Lie algebras ⋮ Mathematical quantum theory. I: Random ultrafilters as hidden variables ⋮ Complex orthogonal and symplectic matrices depending on parameters

Cites Work

• Spectra of generators in irreducible unitary representations of non- compact cemi-simple groups
• On the symmetry groups of simple materials: An application of the theory of Lie groups
• Quasi-unitary matrices
• Geometry of Four-Component Spinors
• Norm Invariance of Mass-Zero Equations under the Conformal Group
• Zur Darstellungstheorie der inhomogenen Lorentzgruppe als Grundlage quantenmechanischer Kinematik
• The Invariant Subspace Lattice of a Linear Transformation
• Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)
• Unitary Irreducible Representations of SU(2, 2). II
• THE SUBGROUP STRUCTURE OF THE HOMOGENEOUS LORENTZ GROUP
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
• Complex Lorentz Group with a Real Metric: Group Structure
• On the Invariant Regularization in Relativistic Quantum Theory
• Direct Proof of the Covariance of Gupta's Indefinite Metric in Quantum Electrodynamics

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