Geodesic
A Note on the Length of Trivectors
Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 371-372

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This note concerns elements (called trivectors) of the third Grassmann product of a complex vector space U. Usually there are many ways to write a given trivector as the sum of simple or decomposable trivectors, and it is an interesting problem to find those representations which contain the smallest possible number of decomposables. This number we shall call the length of the trivector. Let N(n) denote the length of the longest trivector in ∧3U where U has dimension n. In this note we give upper bounds for N(n) when n ≤ 8. 
MacDougall, J. A. A Note on the Length of Trivectors. Canadian mathematical bulletin, Tome 21 (1978) no. 3, pp. 371-372. doi: 10.4153/CMB-1978-066-7
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