K-theory of twisted Grassmannians
type: Item
instance of: scholarly article
title: K-theory of twisted Grassmannians
zbMATH Open document ID: 0705.14007
DOI: 10.1007/BF00533374
author: Jerzy Weyman
author: Marc Levine
author: V. Srinivas
published in: \(K\)-Theory
publication date: 1989-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 14C35
Mathematics Subject Classification ID: 14M15
Mathematics Subject Classification ID: 19E08
zbMATH DE Number: 4156615
zbMATH Keywords: K-group of Grassmannians
zbMATH Keywords: flag varieties
zbMATH Keywords: Azumaya algebras
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4156615