arXiv math/98111411998-11math.QAcond-mat.stat-mechhep-thmath-phmath.MP

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

T. D. Palev, N. I. Stoilova

备注：: 16 pages, TeX; an extended version of a paper to appear in J. Phys. A; a multiple in the RHS of Eq. (38d) was added
DOI：: 10.1088/0305-4470/32/6/019

英文摘要：

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 (CAGs) 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 CAGs provide microscopic realizations of exclusion statistics is formulated.

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