AN R-MATRIX APPROACH TO THE QUANTIZATION OF THE EUCLIDEAN GROUP E(2)

Authors
BALLESTEROS A CELEGHINI E GIACHETTI R SORACE E TARLINI M
Citation
A. Ballesteros et al., AN R-MATRIX APPROACH TO THE QUANTIZATION OF THE EUCLIDEAN GROUP E(2), Journal of physics. A, mathematical and general, 26(24), 1993, pp. 7495-7501
Citations number
16
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
26
Issue
24
Year of publication
1993
Pages
7495 - 7501
Database
ISI
SICI code
0305-4470(1993)26:24<7495:ARATTQ>2.0.ZU;2-M
Abstract
The R-matrices for two different deformations of the Euclidean group E (2), calculated in a two-dimensional representation, are used to deter mine the deformed Hopf algebra of the representative functions. The du ality of the latter with the initial quantum algebras is explicitly pr oved and the relationship between the two quantum groups is discussed and clarified.