K-theory of twisted Grassmannians
The paper contains a computation of the K-group of Grassmannians and flag varieties over an arbitrary Noetherian base scheme, and the K-group of forms of Grassmannians and flag varieties associated to a sheaf of Azumaya algebras. An extension to objects over \({\mathbb{Z}}\) of main points in the proof of the characteristic zero case is used in the computations. This include a weaker form of the Cauchy formula for \(Gl_ n\)- representations and the Bott theorem over \({\mathbb{Z}}\) in the appropriate Grothendieck group.
scientific article; zbMATH DE number 4156615
scientific article