论文标题
正交群体的Morava K理论和射影的动机
Morava K-theory of orthogonal groups and motives of projective quadrics
论文作者
论文摘要
我们计算了代数摩拉瓦k理论的分裂特殊正交和旋转组的环。特别是，我们为特殊正交和自旋组的Morava K理论建立了一定的稳定结果。此外，我们将这些结果应用于正交拉格曼尼亚人的Morava动机分解。例如，我们确定通用Quadric的Morava动机的所有不可合作的求和。
We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to study Morava motivic decompositions of orthogonal Grassmannians. For instance, we determine all indecomposable summands of the Morava motives of a generic quadric.
