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