Note on Chow rings of nontrivial G-torsors over a field

抄録

Let G_k be a split reductive group over a field k corresponding to a compact Lie group G. Let G_k be a nontrivial G_k-torsor over a field k. In this paper we study the Chow ring of G_k. For example when (G, p) = (G₂, 2), we have the isomorphism CH^*(G_k)₍₂₎ $\cong$ Z₍₂₎.