A q-deformation of the parastatistics and an alternative to the Chevalley description of U q [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 U_q[osp(2n+1/2m)] in terms of
m
pairs of deformed parabosons and
n
pairs of deformed parafermions is outlined.