Non-standard quantum (1+1) Poincare group: a T-matrix approach
A Ballesteros; F J Herranz; M A del Olmo; C M Perena; M Santander; A Ballesteros; Dept. de Fisica, Univ. de Burgos, Spain; F J Herranz; Dept. de Fisica, Univ. de Burgos, Spain; M A del Olmo; Dept. de Fisica, Univ. de Burgos, Spain; C M Perena; Dept. de Fisica, Univ. de Burgos, Spain; M Santander; Dept. de Fisica, Univ. de Burgos, Spain
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1995-12-21
Аннотация:
The Hopf algebra dual form for the non-standard uniparametric deformation of the (1+1) Poincare algebra iso(1,1) is deduced. In this framework, the quantum coordinates that generate Fun<sub>w</sub>(ISO(1,1)) define an infinite dimensional Lie algebra. The T-matrix formalism is used to derive a universal R-matrix for both U<sub>w</sub>iso(1,1) and Fun<sub>w</sub>(ISO(1,1)). It is also shown how these results can be generalized for the triangular deformations of (1+1) Poincare and Galilei algebras that include a spacetime dilation generator.
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