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Our main goal here is to provide an introduction on some of the well established properties of the representation theory of SO(d+1,1), for those considering to think on physical problems set in de Sitter space in terms of these representations.
I. M. Gel’fand, M. I. Graev, N. Ya. Vilenkin, Generalized Functions Volume 5 Integral Geometry and Representation Theory, AMS Chelsea Publishing (1966) ISBN 9781470426637 (v. 5)
1966
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova and I. T. Todorov, On the Clebsch-Gordan expansion for the Lorentz group in n n dimensions,Reports on Mathematical Physics Vol. 9, Issue 2 (1976), pages 219-246
1976
Earlier work this paper cites.
V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova and I. T. Todorov, Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory, Lect. Notes Phys. Springer-Verlag 63 (1977) 1. doi: 10.1007/978-3-540-37381-0
1977
Earlier work this paper cites.
J. Repka, Tensor Products of Unitary Representations of SL2(R), American Journal of Mathematics, Vol. 100, No. 4 (Aug., 1978), pp. 747-774
1978
Cited alongside, same era.
S. Lang, SL2(R), Graduate Texts in Mathematics, Springer-Verlag New York Inc. 1985, doi:10.1007/978-1-4612-5142-2
1985
Cited alongside, same era.
E. Joung, J. Mourad, R. Parentani, Group theoretical approach to quantum fields in de Sitter space II. The complementary and discrete series, JHEP 0709:030,2007
2007
Cited alongside, same era.
Z. Sun, A note on the representations of S O ( 1 , d + 1 ) SO(1,d+1) , arXiv:2111.04591 [hep-th]
Cited in the paper.
B. Pethybridge, V. Schaub, Tensors and Spinors in de Sitter Space, arXiv:2111.14899 [hep-th]
Cited in the paper.
A. O. Barut, C. Fronsdal, On Non-Compact Groups. II. Representations of the 2 + 1 Lorentz Group, Proc. R. Soc. Lond. A287532–548,
Cited in the paper.
Cited in the paper.
Cited in the paper.
D. Anninos, D. M. Hofman, J. Kruthoff, Charged quantum fields in AdS 2 , SciPost Phys. 7, 054 (2019)
2019
Later among the works it cites.
G. Sengor, C. Skordis, Unitarity at the late-time boundary of de Sitter, JHEP 06 (2020) 041
2020
Later among the works it cites.
T. Anous, J. Skulte, An invitation to the principal series, SciPost Phys. 9, 028 (2020)
2020
Later among the works it cites.
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