Fock representations of the superalgebra<i>sl</i>(<i>n</i>+1|<i>m</i>), its quantum analogue<i>U<sub>q</sub></i>[<i>sl</i>(<i>n</i>+1|<i>m</i>)] and related quantum statistics
T. D. PalevInstitute for Nuclear Research and Nuclear Energy, Boul. Tsarigradsko Chaussee 72, 1784 Sofia, BulgariaN. I. StoilovaAbdus Salam International Centre for Theoretical Physics, PO Box 586, 34100 Trieste, ItalyJ. Van der JeugtDepartment of Applied Mathematics and Computer Science, University of Ghent, Krijgslaan 281-S9, B-9000 Gent, Belgium
2000he
ABI
Annotatsiya
Fock space representations of the Lie superalgebra $sl(n+1|m)$ and of its quantum analogue $U_q[sl(n+1|m)]$ are written down. The results are based on a description of these superalgebras via creation and annihilation operators. The properties of the underlying statistics are shortly discussed.
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