Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol
type: Item
instance of: scholarly article
title: Odd orthogonal matrices and the non-injectivity of the Vaserstein symbol
zbMATH Open document ID: 1393.13023
author: Dhvanita R. Rao
author: Sagar Kolte
published in: Journal of Algebra
publication date: 2018-07-25T00:00:00Z
review text: The Vaserstein symbol maps the unimodular triples (over any commutative ring) modulo addition operations to the elementary symplectic Witt group. It is bijective for two-dimensional rings. It is not imjective for some three-dimensional rings. The paper gives new interesting examples of such rings.
Mathematics Subject Classification ID: 13C10
zbMATH DE Number: 6910266
zbMATH Keywords: unimodular row
zbMATH Keywords: elementary symplectic Witt group
zbMATH Keywords: Vaserstein symbol
zbMATH Keywords: orthogonal group
Wikidata QID: Q121821555
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2018.05.026
OpenAlex ID: W2808359283
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DOI: 10.1016/J.JALGEBRA.2018.05.026
description: scientific article; zbMATH DE number 6910266