Unitary Representations of SL(2, C) in an E(2) Basis

Keywords

Mathematics, Irreducible representation, Unitary group, Lorentz group, Unitary representation

References

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• REPRESENTATION OF LOCAL CURRENT ALGEBRA AT INFINITE MOMENTUMRoger Dashen, Murray Gell‐Mann — 1966
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• Representations of the Rotation and Lorentz Groups and Their ApplicationsI. M. Gel'fand, R. A. Minlos, Z. Ya. Shapiro — 1965
• Kinematics at infinite momentumH. Bacry, N. P. Chang — 1968
• 80 Years of Professor Wigner's Seminal Work "On Unitary Representations of the Inhomogeneous Lorentz Group"E. P. Wigner — 2021
• Handbook of Mathematical Functions.Juliette Florentin, Milton Abramowitz, Irene A. Stegun — 1966
• The Principles of Quantum MechanicsC. G. D. — 1935
• The Principles of Quantum MechanicsP. A. M. Dirac, J. C. Polkinghorne — 1958
• Handbook of Mathematical FunctionsDonald A. McQuarrie — 1966

Cited by

• Completeness of the solutions of a wave equation with a linear mass spectrumR. Casalbuoni, G. Longhi — 1973
• The Fourier-Bessel expansion of the scattering amplitude at zero momentum transfer for particles with unequal massK. Tóth — 1973
• A note on the spinor construction of spin foam amplitudesGiorgio Immirzi — 2013
• Unitary representations of the SL (2, C) group in horospheric basisM. Huszár — 1973
• E2-PARAMETRIZATION OF SL(2,C).Geoffrey Iverson, G. Mack — 1970
• Null-plane dynamics of particles and fieldsF. Coester — 1992
• Limit of the most degenerate representations of SO(p,1)F. Ardalan — 1974
• Quantum fields and interactions of massless particles: the continuous spin caseGeoffrey Iverson, G. Mack — 1971
• Light-cone structure of infinite-component fieldsHans Bebié, V. Gorgé, H. Leutwyler — 1972
• The relativistically invariant expansion of a scalar function on imaginary Lobachevski spaceE. G. Kalnins — 1973
• Horospheric basis of the SL(2, C) groupM. Huszár — 1975
• Operator Treatment of the Gel'fand‐Naimark Basis for SL (2, C)Itzhak Bars, Feza Gürsey — 1972
• Lorentz Basis of the Poincaré Group. IIAmlan Chakrabarti — 1968
• SL(2, C) Representations in Explicitly ``Energy‐Dependent'' Basis. IIK. Szegő, K. Tóth — 1971
• Quantum field theory on lightlike slabsH. Leutwyler, John R. Klauder, Ludwig Streit — 1970
• Lorentz poles at zero energy in the unequal-mass scattering amplitudeK. Tóth — 1970
• Celestial geometrySebastian Mizera, Sabrina Pasterski — 2022
• Publications in Theoretical Computer Science : 1975 – 1979Nelson H. F. Beebe — 2003

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• Unitary Representations of the Homogeneous Lorentz Group in an O(2, 1) BasisN. Mukunda — 1968
• The C-matrix and the reality classification of the representations of the homogeneous Lorentz group. I. Irreducible representations of SO(3,1)A. V. Gopala Rao, B S Narahari, K N Srinivasa Rao — 1995
• The unitary irreducible representations of SL¯ (3,R)Dj. Šijački — 1975
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• On the theory of unitary representations of theSL(2C) groupDao Vong Duc, Nguyen Van Hieu — 1967
• Unitary Irreducible Representations of the Groups SO0(n, 1)Fritz Schwarz — 1971