### Abstract

The * isomorphism between algebraic extensions of the Lie fields of SO_{0}(1,4) and the Poincaré group are considered herein. It is shown that the principal series of unitary ray representations of SO _{0}(1,4) are associated, via the * isomorphism, with real mass, positive and negative energy representations of the Poincaré Lie algebra with arbitrary spin. Results on the most degenerate exceptional series of SO_{0}(1,4) representations are also given.

Original language | English (US) |
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Pages (from-to) | 5320-5332 |

Number of pages | 13 |

Journal | Journal of Mathematical Physics |

Volume | 34 |

Issue number | 11 |

DOIs | |

State | Published - Jan 1 1993 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Havliček, M., & Moylan, P. (1993). An embedding of the Poincaré Lie algebra into an extension of the Lie field of SO

_{0}(1,4).*Journal of Mathematical Physics*,*34*(11), 5320-5332. https://doi.org/10.1063/1.530307