Continuous subgroups of the fundamental groups of physics. I. General method and the Poincare group
Journal Article
·
· J. Math. Phys. (N.Y.), v. 16, no. 8, pp. 1597-1614
OSTI ID:4147635
A general method is presented for reducing the problem of finding all continuous subgroups of a given Lie group, G, with a nontrivial invariant subgroup, N, to that of classifying the subgroups of N and the subgroups of the factor group G/N. The method is applied to classify all continuous subgroups of the Poincare group (PG) and of the Lorentz group extended by dilatations [the homogeneous similitude group (HSG)]. Lists of representatives of each conjugacy class of subalgebras of the Lie algebras of the groups PG and HSG are given in the form of tables. (5 tables) (auth)
- Research Organization:
- Univ., Montreal
- NSA Number:
- NSA-33-008420
- OSTI ID:
- 4147635
- Journal Information:
- J. Math. Phys. (N.Y.), v. 16, no. 8, pp. 1597-1614, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 8, pp. 1597-1614; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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