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

S. A. Buchwalter; P. Moylan

doi:10.1063/1.532287

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

S. A. Buchwalter
, P. Moylan

Division of Engineering and Science (Abington)

Research output: Contribution to journal › Article › peer-review

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 SO₀(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	https://doi.org/10.1063/1.532287
State	Published - Apr 1998

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.532287

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abstract = "An algebraic isomorphism of an extension of the Lie field of so(1,4) and an extension of the Poincar{\'e} 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 Poincar{\'e} Lie algebra generators in a normalizable basis for an arbitrary unitary spherical principal series representation of SO0(1,4).",

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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).

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

Abstract

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