title: Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmanian.
abstract: A Poincaré resolution is given for the supersymmetric ring of brackets over a signed alphabet. As a consequence, a resolution is found for the ring of coordinates of the Grassmanian variety in projective space over any infinite field.
authors.affiliation: Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
authors.forename: D
authors.initials: D
authors.lastname: Anick
authors.forename: G C
authors.initials: GC
authors.lastname: Rota