Elementary symplectic orbits and improved K1-stability-Reference-Cited by-同舟云学术

Elementary symplectic orbits and improved K1-stability

Published:2010-06-10 Issue:2 Volume:7 Page:389-403
ISSN:1865-2433
Container-title:Journal of K-Theory
language:en
Short-container-title:J K-Theor

Author:

Chattopadhyay Pratyusha,Rao Ravi A.

Abstract

AbstractIt is shown that the set of orbits of the action of the elementary symplectic group on all unimodular rows over a commutative ring of characteristic not 2 is identical with the set of orbits of the action of the corresponding elementary general linear group. This result is used to improve injective stability for K1 of the symplectic group over non-singular affine algebras.

Publisher

Cambridge University Press (CUP)

Subject

Geometry and Topology,Algebra and Number Theory

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