A. Frydryszak, J. Lukierski, P. Minnaert, M. Mozrzymas
Published 1998-07-31Version 1
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.
Comments: Plain LaTeX 2.09. No figures. 8 pages. To appear in the proceedings of the 7th Colloquium on Quantum Groups and Integrable Systems (Prague, June 18-20, 1998)
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