A Caltech Library Service

Continuous subgroups of the fundamental groups of physics. II. The similitude group

Patera, J. and Winternitz, P. and Zassenhaus, H. (1975) Continuous subgroups of the fundamental groups of physics. II. The similitude group. Journal of Mathematical Physics, 16 (8). pp. 1615-1624. ISSN 0022-2488.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


All subalgebras of the similitude algebra (the algebra of the Poincaré group extended by dilatations) are classified into conjugacy classes under transformations of the similitude group. Use is made of the classification of all subalgebras of the Poincaré algebra, carried out in a previous article. The results are presented in tables listing representatives of each class and their basic properties.

Item Type:Article
Related URLs:
Additional Information:© 1975 American Institute of Physics. Received 25 February 1975. Work supported in part by a NATO research grant. One of the authors (J.P.) would like to thank the Physics Center in Aspen, Colorado where part of the work was performed, for its hospitality.
Funding AgencyGrant Number
Issue or Number:8
Classification Code:PACS: 02.20.Qs; 03.65.Fd
Record Number:CaltechAUTHORS:20120806-133807371
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32947
Deposited By: Tony Diaz
Deposited On:06 Aug 2012 21:06
Last Modified:03 Oct 2019 04:05

Repository Staff Only: item control page