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). 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).ĪB - 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. His sister Aline married the spiritualist philosopher Emile Boutroux. His cousin Raymond was the President and the Prime Minister of France, and his father Leon was a professor of medicine at the University of Nancy. 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. Poincaré was born on April 29,1854 in Nancy and died on Jin Paris. T1 - Representations of the Poincaré Lie algebra from unitary representations of SO(1,4)
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