### Abstract

An algebraic isomorphism of an extension of the Lie field of so(1,4) and an extension of the Poincaré Lie field was given in Havlicek and Moylan [J. Math Phys. 34, 5320 (1993)]. Here we use the isomorphism described in that paper in order to obtain matrix elements of the Poincaré Lie algebra generators in a normalizable basis for an arbitrary unitary spherical principal series representation of SO_{0}(1,4).

Original language | English (US) |
---|---|

Pages (from-to) | 2264-2272 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 39 |

Issue number | 4 |

DOIs | |

State | Published - Jan 1 1998 |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*39*(4), 2264-2272. https://doi.org/10.1063/1.532287

}

*Journal of Mathematical Physics*, vol. 39, no. 4, pp. 2264-2272. https://doi.org/10.1063/1.532287

**Representations of the Poincaré Lie algebra from unitary representations of SO(1,4).** / Buchwalter, S. A.; Moylan, Patrick J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Representations of the Poincaré Lie algebra from unitary representations of SO(1,4)

AU - Buchwalter, S. A.

AU - Moylan, Patrick J.

PY - 1998/1/1

Y1 - 1998/1/1

N2 - An algebraic isomorphism of an extension of the Lie field of so(1,4) and an extension of the Poincaré Lie field was given in Havlicek and Moylan [J. Math Phys. 34, 5320 (1993)]. Here we use the isomorphism described in that paper in order to obtain matrix elements of the Poincaré Lie algebra generators in a normalizable basis for an arbitrary unitary spherical principal series representation of SO0(1,4).

AB - An algebraic isomorphism of an extension of the Lie field of so(1,4) and an extension of the Poincaré Lie field was given in Havlicek and Moylan [J. Math Phys. 34, 5320 (1993)]. Here we use the isomorphism described in that paper in order to obtain matrix elements of the Poincaré Lie algebra generators in a normalizable basis for an arbitrary unitary spherical principal series representation of SO0(1,4).

UR - http://www.scopus.com/inward/record.url?scp=0032369574&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032369574&partnerID=8YFLogxK

U2 - 10.1063/1.532287

DO - 10.1063/1.532287

M3 - Article

AN - SCOPUS:0032369574

VL - 39

SP - 2264

EP - 2272

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -