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Cohomological invariants of finite Coxeter groups

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arxiv 1112.6283 v3 pith:LDBFUUOS submitted 2011-12-29 math.AG

Jérôme Ducoat This is my paper · ORCID
classification math.AG
keywords cohomologicalgroupsinvariantscoxeterfinitecharacteristicclassicalcoefficients
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In this paper, we generalize Serre's splitting theorem for cohomological invariants of the symmetric group to finite Coxeter groups, provided that the ground field has characteristic zero. We then use this principle to determine all the cohomological invariants of Weyl groups of classical type with coefficients modulo 2.

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  1. On the splitting principle for cohomological invariants of reflection groups

    math.AG 2019-08 conditional novelty 7.0 of 10

    The splitting principle for cohomological invariants of finite orthogonal reflection groups with values in cycle modules, and for Witt and Milnor-Witt invariants, is proved over fields of characteristic coprime to the...

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