Yuryk Ivan (National University of Food Technology, Kyiv, Ukraine)

Reduction of unitary irreducible representations of the Poincaré group $P(1,n)$ with respect to representations of its subgroups

Анотація:
We discuss the problem of reduction of unitary irreducible representations of the Poincaré group $P(1,n)$ with respect to representations of its subgroup $SO(1,n)$. Based on a generalization of the Wigner–Eckart theorem, we obtain matrix elements of the shift operators in the $SO(1,n)$-basis.