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4 papers
Discrete Space Structure of the 3D Wigner Quantum Oscillator
R. C. King, T. D. Palev, N. I. Stoilova +1
The properties of a noncanonical 3D Wigner quantum oscillator, whose position and momentum operators generate the Lie superalgebra sl(1|3), are further investigated. Within each st…
Quasiboson representations of sl(n+1) and generalized quantum statistics
T. D. Palev, J. Van der Jeugt
Generalized quantum statistics will be presented in the context of representation theory of Lie (super)algebras. This approach provides a natural mathematical framework, as is illu…
A new description of the quantum superalgebra U_q[sl(n+1|m)] and related Fock representations
T. D. Palev, N. I. Stoilova, J. Van der Jeugt
A description of the quantum superalgebra U_q[sl(n+1|m)] via creation and annihilation generators (CAGs) is given. A statement that the Fock representations of the CAGs provide mic…
Characters and composition factor multiplicities for the Lie superalgebra gl(m/n)
J. Van der Jeugt, R. B. Zhang
The multiplicities a_{lambda,mu} of simple modules L(mu) in the composition series of Kac modules V(lambda) for the Lie superalgebra gl(m/n) were described by Serganova, leading to…