Geodesic
Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 360-382 Cet article a éte moissonné depuis la source Math-Net.Ru

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A study is made of the irreducible representations of the complete inhomogeneous de Sitter group $\widetilde{\mathscr P}(1,4)$. Canonical and noncanonical equations of motion that are invariant under the group $\widetilde{\mathscr P}(1,4)$ are found. An equation is proposed which enables one to obtain a mass spectrum of particles that increases with the spin and isospin. A subsidiary result is an equation of motion for a particle with vanishing mass; this is a covariant generalization of the Weyl–Hammer–Wood equation. It is shown that the simplest $P$-, $T$-, $C$-invariant equation in the five-dimensional approach is the eight-component equation (6.7). Canonical transformations for Dirac-type equations are considered. 
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     title = {Representations of the complete inhomogeneous {de~Sitter} group and equations in the five-dimensional {approach.~I}},
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W. I. Fushchych. Representations of the complete inhomogeneous de Sitter group and equations in the five-dimensional approach. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 360-382. http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a7/

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