A quantum fermion realisation of the finite dimensional spinor representation of ${\mathrm{U}}_q(\mathfrak{osp}(1|2n))$

Hengyun Yang, Yang Zhang

The quantum supergroup ${\mathrm{U}}_q(\mathfrak{osp}(1|2n))$ admits a finite dimensional spinor representation, which does not have a classical limit. We construct a realisation of…