%0 Journal Article %T Boson-fermion mappings for odd systems from supercoherent states %A J. Dobaczewski %A F. G. Scholtz %A H. B. Geyer %J Physics %D 1993 %I arXiv %R 10.1103/PhysRevC.48.2313 %X We extend the formalism whereby boson mappings can be derived from generalized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoherent states in terms of both complex and Grassmann variables. In addition to a known mapping for the full so(2$N$+1) algebra, we also uncover some other formal mappings, together with mappings relevant to collective subspaces. %U http://arxiv.org/abs/nucl-th/9303026v1