Geodesic
Orbits and Invariants of Third-Order Cubic Matrices with Symmetric Fibers
Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 483-489.

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In the note, for an action which is the tensor product of the tautological action of the unimodular group of three-dimensional space and the second symmetric power of the tautological action of the unimodular group of three-dimensional space, the orbits are classified and the generators of the algebra of invariants are described. 
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A. G. Nurmiev; D. I. Artamkin. Orbits and Invariants of Third-Order Cubic Matrices with Symmetric Fibers. Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 483-489. http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a0/

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