  This paper studies spinor two-point functions for spin-1/2 and spin-3/2
fields in maximally symmetric spaces such as de Sitter spacetime, by using
intrinsic geometric objects. The Feynman, positive- and negative-frequency
Green functions are then obtained for these cases, from which we eventually
display the supercommutator and the Peierls bracket under such a setting in
two-component-spinor language.
