Abstract
Six-point families of topological reducible (indecomposable) representations of the conformal group of space-time M 4 are studies. The structure of invariant subspaces is analysed and the full set of equivalence relations among the suprepresentations is derived.
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References
WarnerG., Harmonic Analysis on Semi-Simple Lie Groups, Vol. I, Springer-Verlag, Berlin, 1972.
KnappA.W. and SpehB., J. Funct. Anal. 45, 41 (1982).
PetkovaV.B. and SotkovG.M., Bulg. J. Phys. 10, 144 (1983); 10, 256 (1983).
MackG., Comm. Math. Phys. 55, 1 (1977).
RuhlW. and YunnB.C., Fortschr. der Phys. 25, 83 (1977).
JakobsenH.P. and VergneM., J. Funct. Anal. 24, 52 (1977); Speh, B., J. Funct. Anal. 33, 95 (1979); Golod, P.I., preprint ITP-81-133, Kiev (1981) (in Russian).
DobrevV.K., MackG., PetkovaV.B., PetrovaS.G., and TodorovI.T., Lecture Notes in Physics 63, Springer-Verlag, Berlin, 1977.
DobrevV.K. and PetkovaV.B., Rep. Math. Phys. 13, 233 (1978).
Gavrilik, A.M. and Klimyk, A.U., preprint ITP-76-39 E, Kiev (1976); Klimyk, A.U., Matrix Elements and Clebsch-Gordan Coefficients of Group Representations, Naukova Dumka, Kiev, 1979 (in Russian).
KnappA.W. and SteinE.M., Ann. Math. 93, 489 (1971).
StrocchiF. and WightmanA.S., J. Math. Phys. 15, 2198 (1974).
Petkova, V.B. and Sotkov, G.M., ISAS preprint 15/83/E.P., Trieste (1983).
TodorovI.T., MintchevM.C., and PetkovaV.B., Conformal Invariance in Quantum Field Theory, SNS, Pisa (1978).
Kozhevnikov, A.A., Palchik, M.Ya., and Pomeransky, A.A., IAE preprint No. 146, Novosibirsk, (1981).
Stoyanov, D.Tz. and Sotkov, G.M., JINR report P2-81-665 (1981) (in Russian); J. Phys. A16, 2817 (1983).
BinegarB., FronsdalC., FlatoM., and SalamóS., Czech. J. Phys. B32, 439 (1982).
Binegar, B., Fronsdal, C., and Heidenreich, W., preprint UCLA/82/TEP/6, Los Angeles (1982).
Dobrev, V.K., ICTP Internal Report IC/83/36, Trieste (1983).
AngelopoulosE., Comm. Math. Phys. 89, 41 (1983).
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Petkova, V.B., Sotkov, G.M. The six-point families of exceptional representations of the conformal group. Lett Math Phys 8, 217–226 (1984). https://doi.org/10.1007/BF00402237
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DOI: https://doi.org/10.1007/BF00402237