Chow rings of versal complete flag varieties. (English) Zbl 1507.57028
Summary: In this paper, we try to compute Chow rings of versal complete flag varieties corresponding to simple Lie groups, by using generalized Rost motives. As applications, we give new proofs of Totaro’s results for the torsion indexes of simple Lie groups except for spin groups.
MSC:
| 57T15 | Homology and cohomology of homogeneous spaces of Lie groups |
| 14C15 | (Equivariant) Chow groups and rings; motives |
| 20G15 | Linear algebraic groups over arbitrary fields |
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