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math-ph2005
Lie superalgebraic framework for generalization of quantum statistics
N. I. Stoilova, J. Van der Jeugt
Para-Bose and para-Fermi statistics are known to be associated with representations of the Lie (super)algebras of class B. We develop a framework for the generalization of quantum…
math-ph2005★ 7 cited
Solutions of the compatibility conditions for a Wigner quantum oscillator
N. I. Stoilova, J. Van der Jeugt
We consider the compatibility conditions for a N-particle D-dimensional Wigner quantum oscillator. These conditions can be rewritten as certain triple relations involving anticommu…
math-ph2005★ 6 cited
A classification of generalized quantum statistics associated with basic classical Lie superalgebras
N. I. Stoilova, J. Van der Jeugt
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…