Equality of linear and symplectic orbits

Chattopadhyay, Pratyusha ; Rao, Ravi A. (2015) Equality of linear and symplectic orbits Journal of Pure and Applied Algebra, 219 (12). pp. 5363-5386. ISSN 0022-4049

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.jpaa.2015.05.019

Abstract

It is shown that the set of orbits of the action of the elementary symplectic transvection group on all unimodular elements of a symplectic module over a commutative ring in which 2 is invertible is identical with the set of orbits of the action of the corresponding elementary transvection group. This result is used to get improved injective stability estimates for K1 of the symplectic transvection group over a non-singular affine algebras.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:107121
Deposited On:22 Jun 2017 09:56
Last Modified:22 Jun 2017 09:56

Repository Staff Only: item control page