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math.RA2012
On Kruskal's theorem that every 3 x 3 x 3 array has rank at most 5
Murray R. Bremner, Jiaxiong Hu
In the first part of this paper, we consider 3 x 3 x 3 arrays with complex entries, and provide a complete self-contained proof of Kruskal's theorem that the maximum rank is 5. In…
math.RA2010
Lie invariants in two and three variables
Murray R. Bremner, Jiaxiong Hu
We use computer algebra to determine the Lie invariants of degree <= 12 in the free Lie algebra on two generators corresponding to the natural representation of the simple 3-dimens…