A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$

@article{Dabrowski1997AFQ,
  title={A FINITE QUANTUM SYMMETRY OF \$M(3, \{\Bbb C\})\$},
  author={L. Da̧browski and F. Nesti and P. Siniscalco},
  journal={International Journal of Modern Physics A},
  year={1997},
  volume={13},
  pages={4147-4161}
}
  • L. Da̧browski, F. Nesti, P. Siniscalco
  • Published 1997
  • Physics, Mathematics
  • International Journal of Modern Physics A
  • The 27-dimensional Hopf algebra A(F), defined by the exact sequence of quantum groups , , is studied as a finite quantum group symmetry of the matrix algebra , describing the color sector of Alain Connes' formulation of the Standard Model. The duality with the Hopf algebra ℋ, investigated in a recent work by Robert Coquereaux, is established and used to define a representation of ℋ on and two commuting representation of ℋ on A(F). 
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