A q-deformation of the parastatistics and an alternative to the Chevalley description of Uq[osp(2n+1/2m)]
Abstract
The paper contains essentially two new results. Physically, a deformation of the parastatistics in a sense of quantum groups is carried out. Mathematically, an alternative to the Chevalley description of the quantum orthosymplectic superalgebra Uq[osp(2n+1/2m)] in terms of m pairs of deformed parabosons and n pairs of deformed parafermions is outlined.
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