Rao, A. V. G. and Narahari, B. S. and Rao, K. N. S.
(1995)
*The C-matrix and the reality classification of the representations of the homogeneous Lorentz group. I. Irreducible representations of SO(3,1).*
Journal of Physics A: Mathematical and General, 28 (4).
pp. 957-966.

## Abstract

A basis-independent criterion for the classification of irreducible group representations, into potentially-real, pseudo-real and essentially-complex representations, is given for an arbitrary group which may also possess infinite-dimensional representations. These considerations are applied, in particular, to the finite- and infinite-dimensional representations D(j(0), c) of the orthochronous proper Lorentz group SO(3, 1) and it is shown that the irreps which are neither unitary nor pseudo-unitary are essentially-complex. Further, among the unitary and pseudo-unitary irreps of SO(3, 1), those irreps with a half-odd-integer j(0) are shown to be pseudo-real, while the others with an integer j(0) (including zero) are potentially-real.

Item Type: | Article |
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Subjects: | D Physical Science > Physics |

Divisions: | Department of > Physics |

Depositing User: | Users 23 not found. |

Date Deposited: | 19 May 2021 08:09 |

Last Modified: | 03 Mar 2023 06:20 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/16514 |

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