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}
}

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