GRADED CONTRACTIONS AND BICROSSPRODUCT STRUCTURE OF DEFORMED INHOMOGENEOUS ALGEBRAS

Authors
DEAZCARRAGA JA DELOLMO MA BUENO JCP SANTANDER M
Citation
Ja. Deazcarraga et al., GRADED CONTRACTIONS AND BICROSSPRODUCT STRUCTURE OF DEFORMED INHOMOGENEOUS ALGEBRAS, Journal of physics. A, mathematical and general, 30(9), 1997, pp. 3069-3086
Citations number
47
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
9
Year of publication
1997
Pages
3069 - 3086
Database
ISI
SICI code
0305-4470(1997)30:9<3069:GCABSO>2.0.ZU;2-L
Abstract
A family of deformed Hopf algebras corresponding to the classical maxi mal isometry algebras of zero-sic N-dimensional spaces(the inhomogeneo us algebras iso(p,q), p+q = N, as well as some of their contractions) are shown to have a bicrossproduct structure. This is done for both th e algebra and, in a low-dimensional example, for the (dual) group aspe cts of the deformation.