摘要
Our aim is to prove that the geometric motive with rational coefficients of a split reductive group G over a perfect field decomposes as the symmetric co-algebra object of certain split mixed Tate motives which are computable in terms of the root data of G. Moreover the isomorphism respects the Hopf algebra structures in a weight graded sense. We will also provide explicit decompositions in the case of classical groups.
- 出版日期2012-2