Dimension independence in exterior algebra.
- Resource Type
- Article
- Authors
- Hawrylycz, M
- Source
- Proceedings of the National Academy of Sciences of the United States of America; March 1995, Vol. 92 Issue: 6 p2323-2327, 5p
- Subject
- Language
- ISSN
- 00278424; 10916490
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.