title: Dimension independence in exterior algebra.
abstract: The identities between homogeneous expressions in rank 1 vectors and rank n - 1 covectors in a Grassmann-Cayley algebra of rank n, in which one set occurs multilinearly, are shown to represent a set of dimension-independent identities. The theorem yields an infinite set of nontrivial geometric identities from a given identity.
authors.affiliation: Computer Research and Application Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.
authors.forename: M
authors.initials: M
authors.lastname: Hawrylycz