A classification of generalized quantum statistics associated with basic classical Lie superalgebras

@article{Stoilova2005ACO,
  title={A classification of generalized quantum statistics associated with basic classical Lie superalgebras},
  author={N. Stoilova and J. V. Jeugt},
  journal={Journal of Mathematical Physics},
  year={2005},
  volume={46},
  pages={113504}
}
  • N. Stoilova, J. V. Jeugt
  • Published 2005
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • Generalized quantum statistics such as para-statistics is usually characterized by certain triple relations. In the case of para-Fermi statistics these relations can be associated with the orthogonal Lie algebra Bn=so(2n+1); in the case of para-Bose statistics they are associated with the Lie superalgebra B(0∣n)=osp(1∣2n). In a previous paper, a mathematical definition of “a generalized quantum statistics associated with a classical Lie algebra G” was given, and a complete classification was… CONTINUE READING
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