A.S. Merkurjev, R. Parimala, J.-P. Tignol: Invariants of quasi-trivial tori and the Rost invariant

merkurev@math.ucla.edu, parimala@math.tifr.res.in, tignol@agel.ucl.ac.be

Submission: 2001, Sep 28

For any absolutely simple, simply connected linear algebraic group G, Rost has defined invariants for torsors under G. The aim of this paper is to give an explicit description of these invariants for torsors induced from the center of G, when G is of type A or D. As an application, we show that the multipliers of unitary similitudes satisfy a relation involving the discriminant algebra.

2000 Mathematics Subject Classification: 11E57, 11E72, 20G15

Keywords and Phrases: Rost invariant, classical groups, cohomological invariants, tori.

Full text: dvi.gz 56 k, dvi 159 k, ps.gz 345 k, pdf.gz 239 k, pdf 302 k.

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