Geodesic
Cohomological invariants of central simple algebras
Izvestiya. Mathematics , Tome 80 (2016) no. 5, pp. 869-883.

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We determine the indecomposable degree 3 cohomological invariants of tuples of central simple algebras with linear relations. Equivalently, we determine the degree 3 reductive cohomological invariants of all split semisimple groups of type $A$.
Keywords: cohomological invariants, simple algebras, semisimple groups. 
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A. S. Merkur'ev. Cohomological invariants of central simple algebras. Izvestiya. Mathematics , Tome 80 (2016) no. 5, pp. 869-883. http://geodesic.mathdoc.fr/item/IM2_2016_80_5_a3/

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