Publication
Title
Weakly hyperbolic involutions
Author
Abstract
Pfister's Local-Global Principle states that a quadratic form over a (formally) real field is weakly hyperbolic (i.e. represents a torsion element in the Witt ring) if and only if its total signature is zero. This result extends naturally to the setting of central simple algebras with involution. The present article provides a new proof of this result and extends it to the case of signatures at preorderings. Furthermore the quantitative relation between nilpotence and torsion is explored for quadratic forms as well as for central simple algebras with involution. (C) 2017 Elsevier GmbH. All rights reserved.
Language
English
Source (journal)
Expositiones mathematicae. - -
Publication
2018
ISSN
0723-0869
Volume/pages
36 :1 (2018) , p. 78-97
ISI
000436521500003
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 02.08.2018
Last edited 20.09.2021
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