DEFORMED AND EXTENDED GALILEI GROUP HOPF-ALGEBRAS

Citation
Ja. Deazcarraga et Jcp. Bueno, DEFORMED AND EXTENDED GALILEI GROUP HOPF-ALGEBRAS, Journal of physics. A, mathematical and general, 29(19), 1996, pp. 6353-6362
Citations number
29
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
29
Issue
19
Year of publication
1996
Pages
6353 - 6362
Database
ISI
SICI code
0305-4470(1996)29:19<6353:DAEGGH>2.0.ZU;2-Q
Abstract
The <kappa over cap>-deformed extended Galilei Hopf group algebra Fun( <kappa over cap>)((G) over bar((m))), is introduced. It provides an ex plicit example of a deformed group with cocycle bi-crossproduct struct ure, and is shown to be the contraction limit of a pseudoextension of the kappa-Poincare group algebra. The possibility of obtaining other d eformed extended Galilei groups is discussed, including one obtained f rom a non-standard Poincare deformation.