A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators

Details A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators A decription of the quantum superalgebra $U_q[osp(2n+1/2m)]$ via Green generators

1996-07-29

arxiv.org/abs/q-alg/9607030v1

Physics

High Energy Physics

High Energy Physics - Theory

TeX, 8 pages

Scientific paper

A description of the orthosymplectic Lie superalgebra $osp(2n+1/2m)$ and also of its $q-$deformed analogue $U_q[osp(2n+1/2m)]$ in terms of a new set of generators, called Green generators, is given. These generators are very different form the well known Chevalley generators. Mathematically the Green generators are the root vectors, corresponding to the positive and the negative orthogonal roots. Physically, they consist of $m$ pairs of (deformed) para-Bose operators and $n$ pairs of (deformed) para-Fermi operators.

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