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On the splitting principle for cohomoligical invariants of reflection groups
- Source :
- Transformation Groups, 27
- Publication Year :
- 2022
-
Abstract
- Let $\mathrm{k}_{0}$ be a field and $W$ a finite orthogonal reflection group over $\mathrm{k}_{0}$. We prove Serre's splitting principle for cohomological invariants of $W$ with values in Rost's cycle modules (over $\mathrm{k}_{0}$) if the characteristic of $\mathrm{k}_{0}$ is coprime to $|W|$. We then show that this principle for such groups holds also for Witt- and Milnor-Witt $K$-theory invariants.<br />20 pages
- Subjects :
- Symmetric algebra
Pure mathematics
Polynomial
Algebra and Number Theory
010102 general mathematics
Field (mathematics)
Subring
Space (mathematics)
01 natural sciences
19D45
Mathematics - Algebraic Geometry
Reflection (mathematics)
Mathematics::K-Theory and Homology
0103 physical sciences
FOS: Mathematics
Orthogonal group
010307 mathematical physics
Geometry and Topology
0101 mathematics
Algebraic Geometry (math.AG)
Mathematics
Splitting principle
Subjects
Details
- Language :
- English
- ISSN :
- 10834362
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Transformation Groups
- Accession number :
- edsair.doi.dedup.....1bee842c9c541d2723e8f7e706f948ef