摘要

The quantum supergroup U-q(osp(1 vertical bar 2n)) admits a finite dimensional spinor representation, which does not have a classical limit. We construct a realisation of this representation on the Fock space of q-fermions. We also generalise the construction to the infinite dimensional spinor representations of U-q(osp(2m+1 vertical bar 2n)) for m, n >= 1 by using both quantum bosons and fermions. This leads to a new realisation different from those obtained before by other researchers. Published by AIP Publishing.

全文