Cohomological invariants of finite Coxeter groups

Mathematics – Algebraic Geometry

Scientific paper

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arXiv admin note: substantial text overlap with arXiv:1112.6290

Scientific paper

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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