On the contraction of the discrete series of S U ( 1 , 1 )

C. Cishahayo; S. De Bièvre

Annales de l'institut Fourier (1993)

  • Volume: 43, Issue: 2, page 551-567
  • ISSN: 0373-0956

Abstract

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It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group 𝒫 1 , 1 = S O ( 1 , 1 ) ⊗ s ℝ 2 can be obtained via contraction from the discrete series of representations of S U ( 1 , 1 ) .

How to cite

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Cishahayo, C., and De Bièvre, S.. "On the contraction of the discrete series of $SU(1,1)$." Annales de l'institut Fourier 43.2 (1993): 551-567. <http://eudml.org/doc/75010>.

@article{Cishahayo1993,
abstract = {It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group $\{\cal P\}^\{1,1\} = SO(1,1) \otimes _s\{\Bbb R\}^2$ can be obtained via contraction from the discrete series of representations of $SU(1,1)$.},
author = {Cishahayo, C., De Bièvre, S.},
journal = {Annales de l'institut Fourier},
keywords = {positive energy representation; Poincaré group; contraction; discrete series of representations},
language = {eng},
number = {2},
pages = {551-567},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the contraction of the discrete series of $SU(1,1)$},
url = {http://eudml.org/doc/75010},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Cishahayo, C.
AU - De Bièvre, S.
TI - On the contraction of the discrete series of $SU(1,1)$
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 2
SP - 551
EP - 567
AB - It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group ${\cal P}^{1,1} = SO(1,1) \otimes _s{\Bbb R}^2$ can be obtained via contraction from the discrete series of representations of $SU(1,1)$.
LA - eng
KW - positive energy representation; Poincaré group; contraction; discrete series of representations
UR - http://eudml.org/doc/75010
ER -

References

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