Geodesic
Invariants and orbits of the standard $(\mathrm SL_4(\mathbb C)\times\mathrm SL_4(\mathbb C)\times\mathrm SL_2(\mathbb C))$-module
Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 1003-1015.

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We consider the natural linear representation of the group $\mathrm SL_4(\mathbb C)\times\mathrm SL_4(\mathbb C)\times\mathrm SL_2(\mathbb C)$ on the space $\mathbb C^4\otimes\mathbb C^4\otimes\mathbb C^2$. Using the embedding of this representation in the adjoint representation of the Lie algebra $E_7$, we classify the orbits and find the generators of the algebra of invariants. 
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D. D. Pervouchine. Invariants and orbits of the standard $(\mathrm SL_4(\mathbb C)\times\mathrm SL_4(\mathbb C)\times\mathrm SL_2(\mathbb C))$-module. Izvestiya. Mathematics , Tome 64 (2000) no. 5, pp. 1003-1015. http://geodesic.mathdoc.fr/item/IM2_2000_64_5_a4/

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