Some Remarks on Units in Grothendieck-Witt Rings
arXiv:1612.04728
Abstract
We establish new structures on Grothendieck-Witt rings, including a GW(k)-module structure on the unit group GW(k)^x and a presentation of \ul{GW}^x as an infinite Gm-loop sheaf. Even though our constructions are motivated by speculations in stable A1-homotopy theory, our arguments are purely algebraic.
arXiv commentRevised version accepted for publication by the Journal of Algebra. Comments still welcome