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Decomposition of representations of SL(2, C) induced by the continuous series of E(2)

Published online by Cambridge University Press:  22 January 2016

Hitoshi Kaneta
Hitoshi Kaneta*
Affiliation:
Department of MathematicsNagoya University
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Since the representations of SL(2, C) induced by irreducible unitary representations of appear as the restriction to the Lorentz group of some irreducible unitary representations of the inhomogeneous Lorentz group, the decomposition of the induced representations deserves our investigation. For the representations of SL(2, C) induced by irreducible unitary representations with discrete spin of E(2), the decomposition has been obtained by Mukunda [9]. We hope that our analysis will justify the calculations by Chakrabarti [1], [2] and [3].

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 78 , May 1980 , pp. 95 - 111
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

References

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