Degree three cohomological invariants of semisimple groups

Alexander Merkurjev

doi:10.4171/jems/599

JournalsjemsVol. 18, No. 3pp. 657–680

Degree three cohomological invariants of semisimple groups

Alexander Merkurjev
University of California, Los Angeles, USA

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Abstract

We study the degree 3 cohomological invariants with coefficients in $Q / Z (2)$ of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.

Cite this article

Alexander Merkurjev, Degree three cohomological invariants of semisimple groups. J. Eur. Math. Soc. 18 (2016), no. 3, pp. 657–680

DOI 10.4171/JEMS/599