Cohomological invariants of finite Coxeter groups

2011/12/29 by Jérôme Ducoat, Ducoat, Jérôme
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1112.6283

arXiv admin note: substantial text overlap with arXiv:1112.6290

openalex publication_date 2011/12/29 · arxiv created 2012/04/16 · arxiv updated 2012/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Cohomological invariants of classical Weyl groups modulo 2

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