Subgroups of the Poincaré group and their invariants

Publisher Website
Google Scholar
Abstract
The continuous subgroups of the Poincaré group, classified into conjugacy classes in a previous article, are here classified into isomorphism classes. For each isomorphism class of Lie subalgebras all invariants are found, with a distinction made between Casimir operators (polynomials in the generators), rational invariants (rational functions of the generators), and general invariants (irrational and transcendental functions of the generators). All results are summarized in tables. The meaning of nonpolynomial invariants is briefly discussed and illustrated in examples.

This publication has 25 references indexed in Scilit: