A description of the quantum superalgebra Uq[sl(n+1|m)] via creation and annihilation generators
Abstract
A description of the quantum superalgebra Uq[sl(n+1|m)] and in particular of the special linear superalgebra sl(n+1|m) via creation and annihilation generators (CAGs) is given. It provides an alternative to the canonical description of Uq[sl(n+1|m)] in terms of Chevalley generators. A conjecture that the Fock representations of the CAGs provide microscopic realizations of exclusion statistics is formulated.
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