A description of the quantum superalgebra $U_q[sl(n+1|m)]$ via creation and annihilation generators

摘要

A description of the quantum superalgebra $U_q[sl(n+1|m)]$ and in particularof the special linear superalgebra $sl(n+1|m)$ via creation and annihilationgenerators (CAGs) is given. It provides an alternative to the canonicaldescription of $U_q[sl(n+1|m)]$ in terms of Chevalley generators. A conjecturethat the Fock representations of the CAGs provide microscopic realizations ofexclusion statistics is formulated.