A classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
Mathematical Physics
2009-11-11 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
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-gradings of exceptional Lie algebras. For exceptional Lie superalgebras such a classification of Z-gradings has not been given before.
Cite
@article{arxiv.math-ph/0611085,
title = {A classification of generalized quantum statistics associated with the exceptional Lie (super)algebras},
author = {N. I. Stoilova and J. Van der Jeugt},
journal= {arXiv preprint arXiv:math-ph/0611085},
year = {2009}
}
Comments
22 pages