Dimension independence in exterior algebra.
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.
Hawrylycz
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Computer Research and Application Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA.