TY - JOUR
T1 - On the splitting principle for cohomoligical invariants of reflection groups
AU - Gille, Stefan
AU - Hirsch, Christian
N1 - Publisher Copyright:
© 2020, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.
PY - 2022/12
Y1 - 2022/12
N2 - Let k0 be a field of characteristic not two, (V, b) a finite-dimensional regular bilinear space over k0, and W a subgroup of the orthogonal group of (V, b) with the property that the subring of W-invariants of the symmetric algebra of V is a polynomial algebra over k0. We prove that Serre’s splitting principle holds for cohomological invariants of W with values in Rost’s cycle modules.
AB - Let k0 be a field of characteristic not two, (V, b) a finite-dimensional regular bilinear space over k0, and W a subgroup of the orthogonal group of (V, b) with the property that the subring of W-invariants of the symmetric algebra of V is a polynomial algebra over k0. We prove that Serre’s splitting principle holds for cohomological invariants of W with values in Rost’s cycle modules.
UR - http://www.scopus.com/inward/record.url?scp=85100312551&partnerID=8YFLogxK
U2 - 10.1007/s00031-020-09637-6
DO - 10.1007/s00031-020-09637-6
M3 - Article
AN - SCOPUS:85100312551
SN - 1083-4362
VL - 27
SP - 1261
EP - 1285
JO - Transformation Groups
JF - Transformation Groups
ER -