MOTIVES OF REDUCTIVE GROUPS

作者:Biglari Shahram*
来源:American Journal of Mathematics, 2012, 134(1): 235-257.
DOI:10.1353/ajm.2012.0005

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