Quaternion-Octonion SU(3) Flavor Symmetry

@article{Pushpa2012QuaternionOctonionSF,
  title={Quaternion-Octonion SU(3) Flavor Symmetry},
  author={Pushpa and P. S. Bisht and Tianjun Li and O. P. S. Negi},
  journal={International Journal of Theoretical Physics},
  year={2012},
  volume={51},
  pages={1866-1875}
}
  • Pushpa, P. Bisht, O. Negi
  • Published 8 July 2011
  • Physics
  • International Journal of Theoretical Physics
Starting with the quaternionic formulation of isospin SU(2) group, we have derived the relations for different components of isospin with quark states. Extending this formalism to the case of SU(3) group, we have considered the theory of octonion variables. Accordingly, the octonion splitting of SU(3) group have been reconsidered and various commutation relations for SU(3) group and its shift operators are also derived and verified for different isospin multiplets i.e. I, U and V-spins. 
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