A classification of generalized quantum statistics associated with the exceptional Lie ( super ) algebras

@inproceedings{Stoilova2006ACO,
  title={A classification of generalized quantum statistics associated with the exceptional Lie ( super ) algebras},
  author={N. I. Stoilova and Joris Van der Jeugt},
  year={2006}
}
Generalized quantum statistics (GQS) associated to a Lie algebra or Lie superalgebra extends the notion of para-Bose or para-Fermi statistics. Such GQS have been classified for all classical simple Lie algebras and basic classical Lie superalgebras. In the current paper we finalize this classification for all exceptional Lie algebras and superalgebras. Since the definition of GQS is closely related to a certain Z-grading of the Lie (super)algebra G, our classification reproduces some known Z… CONTINUE READING
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