Geodesic
Invariants of quasitrivial tori and the Rost invariant
Algebra i analiz, Tome 14 (2002) no. 5, pp. 110-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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For any absolutely simple, simply connected linear algebraic group $G$ over a field $F$. Rost has defined invariants for the torsors under $G$ with values in the Galois cohomology group $H^3(F,\mathbb Q/\mathbb Z(2))$. In this paper, an explicit description of these invariants is given for the torsors induced from the center of $G$ in the case where $G$ is of type $A_n$ or $D_n$. As an application, it is shown that the multipliers of the unitary similitudes satisfy a relation involving the discriminant algebra. 
@article{AA_2002_14_5_a6,
     author = {A. S. Merkurjev and R. Parimala and J.-P. Tignol},
     title = {Invariants of quasitrivial tori and the {Rost} invariant},
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     year = {2002},
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     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_2002_14_5_a6/}
}
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A. S. Merkurjev; R. Parimala; J.-P. Tignol. Invariants of quasitrivial tori and the Rost invariant. Algebra i analiz, Tome 14 (2002) no. 5, pp. 110-151. http://geodesic.mathdoc.fr/item/AA_2002_14_5_a6/