Fock representations of the superalgebra sl(n+1|m), its quantum analogue U_q[sl(n+1|m)] and related quantum statistics

Details Fock representations of the superalgebra sl(n+1|m), its quantum analogue U_q[sl(n+1|m)] and related quantum statistics Fock representations of the superalgebra sl(n+1|m), its quantum analogue U_q[sl(n+1|m)] and related quantum statistics

2000-02-22

arxiv.org/abs/math-ph/0002041v1

Physics

Mathematical Physics

12 pages, PlainTex; to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/33/13/307

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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