The maximal length of real trivectors of rank seven |
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Authors: | R Westwick |
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Institution: |
a Department of Mathematics, University of British Columbia, Vancouver. B.C., Canada |
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Abstract: | Trivectors of rank seven over the complex number field have irreducible length less than or equal to four. Over the reals however this is not true. An example of a real trivector of rank seven and irreducible length five is presented. Then, in the notation of Busemann and Glassco, we have N(R, 7, 3) = 5 since for any field F we always have N(F ,7, 3) ≤ 5. This paper provides the first published example where N(F, n, r) ≠ N(K, n, r) for two different fields F and K. |
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