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Trivectors in a Space of Seven Dimensions

Published online by Cambridge University Press:  20 November 2018

R. Westwick
R. Westwick*
Affiliation:
Deft of Math., University of B.C., Vancouver, B.C., Canada
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In their paper [1], Buseman and Glassco state that N(C, 7, 3) = 5 has been claimed but questioned. Schouten in [2] provides a classification of the orbits of ∧3V under the action of the group of automorphisms of ∧3V induced by automorphisms of V when dim V = 7.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 401
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Buseman, H. and Glassco, D. E., Irreducible Sums of Simple Multivectors, Pac. J. of Math., vol. 49, no. 1, 1973, (13-32).Google Scholar
2. Schouten, J. A., Klassifizierung der altemierenden Gröszen Dritten Grades in 7 Dimensionen. Cir. Mat. di Palermo, vol. 55, 1931, (137-156).Google Scholar