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

Abstract

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.

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

References in corpus (1)

• Fock representations of the Lie superalgebra q(n+1)

Cited by in corpus (5)

• Jacobson generators, Fock representations and statistics of sl(n+1)
• A classification of generalized quantum statistics associated with the exceptional Lie (super)algebras
• A classification of generalized quantum statistics associated with basic classical Lie superalgebras
• Leibniz algebras of Heisenberg type
• Jacobson generators of the quantum superalgebra $U_q[sl(n+1|m)]$ and Fock representations