On Quantum Deformations of D=4 Conformal Algebra
Frydryszak, A. ; Lukierski, J. ; Minnaert, P. ; Mozrzymas, M.
arXiv, 9807036 / Harvested from arXiv
Text on arXiv
Three classes of classical r-matrices for sl(4,C) algebra are constructed in quasi-Frobenius algebra approach. They satisfy CYBE and are spanned respectively on 8,10,12 generators. The o(4,2) reality condition can be imposed only on the eight dimensional r matrices with dimension-full deformation parameters. Contrary to the Poincare algebra case, it appears that all deformations with a mass-like deformation parameter (kappa- deformations) are described by classical r-matrices satisfying CYBE.
Publié le : 1998-07-31
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{9807036,
     author = {Frydryszak, A. and Lukierski, J. and Minnaert, P. and Mozrzymas, M.},
     title = {On Quantum Deformations of D=4 Conformal Algebra},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9807036}
}

Frydryszak, A.; Lukierski, J.; Minnaert, P.; Mozrzymas, M. On Quantum Deformations of D=4 Conformal Algebra. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9807036/