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This article is cited in 14 scientific papers (total in 14 papers)
Research Papers
Invariants of quasitrivial tori and the Rost invariant
A. S. Merkurjeva, R. Parimalab, J.-P. Tignolc a Department of Mathematics, University of California, Los Angeles
California
b School of Mathematics, Tata Institute of Fundamental Research,
Mumbai, India
c Institut de Mathématique Pure et Appliquée,
Université catholique de Louvain, Louvain-la-Neuve, Belgium
Abstract:
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.
Received: 10.05.2002
Citation:
A. S. Merkurjev, R. Parimala, J.-P. Tignol, “Invariants of quasitrivial tori and the Rost invariant”, Algebra i Analiz, 14:5 (2002), 110–151; St. Petersburg Math. J., 14:5 (2003), 791–821
Linking options:
https://www.mathnet.ru/eng/aa900 https://www.mathnet.ru/eng/aa/v14/i5/p110
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