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.

中文翻译：

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反射群的光度不变性的分割原理

设k ₀是特征不是两个字段，（V，b）一个有限维常规双线性空间用K ₀，和w ^的（正交组的子组V，b）与所述属性，该属性的子环w ^ - V的对称代数的不变量是k _0上的多项式代数。我们证明了Serre的分裂原理适用于W与Rost循环模块中的值的同调不变量。