Geodesic
Orbits and invariants of cubic matrices of order three
Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 717-724

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Let $V_i$, $i=1, 2, 3$, be a three-dimensional complex vector space. For the natural linear representation of the group $\operatorname{SL}(V_1)\times\operatorname{SL}(V_2)\times \operatorname{SL}(V_3)$ in the space $V_1\otimes V_2\otimes V_3$ the orbits are classified and generators of the algebra of invariants are described. 
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     author = {A. G. Nurmiev},
     title = {Orbits and invariants of cubic matrices of order three},
     journal = {Sbornik. Mathematics},
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     number = {5},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2000_191_5_a4/}
}
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A. G. Nurmiev. Orbits and invariants of cubic matrices of order three. Sbornik. Mathematics, Tome 191 (2000) no. 5, pp. 717-724. http://geodesic.mathdoc.fr/item/SM_2000_191_5_a4/