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On the contraction of the discrete series of \(SU(1,1)\) - MaRDI portal

On the contraction of the discrete series of \(SU(1,1)\) (Q685895)

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scientific article; zbMATH DE number 425545
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On the contraction of the discrete series of \(SU(1,1)\)
scientific article; zbMATH DE number 425545

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    On the contraction of the discrete series of \(SU(1,1)\) (English)
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    16 August 1994
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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 \({\mathcal P}^{1,1} = SO(1,1) \otimes_ s \mathbb{R}^ 2\) can be obtained via contraction from the discrete series of representations of \(SU(1,1)\).
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    positive energy representation
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    Poincaré group
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    contraction
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    discrete series of representations
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