A Weak Hasse Principle for Central Simple Algebras with an Involution

Lewis, David W.; Scheiderer, Claus; Unger, Thomas

A Weak Hasse Principle for Central Simple Algebras with an Involution

Files

There are no files associated with this item.

Date

2001

Authors

Lewis, David W.

Scheiderer, Claus

Unger, Thomas

Publication type

Contribution to a conference collection

Published in

Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001 / Hoffman, J. William et al. (ed.). - Bielefeld, 2001. - (Documenta mathematica ; 2001,1). - pp. 241-251

Abstract

The notions of totally indefinite and weakly isotropic algebras with involution are introduced and a proof is given of the fact that a field satisfies the Effective Diagonalization Property (ED) if and only if it satisfies the following weak Hasse principle: every totally indefinite central simple algebra with involution of the first kind over the given field is weakly isotropic. This generalizes a known result from quadratic form theory.

Subject (DDC)

510 Mathematics

Keywords

Real fields,central simple algebras,involutions,weak Hasse principles,hermitian squares

Conference

Quadratic Forms and Related Topics, Mar 26, 2001 - Mar 30, 2001, Baton Rouge, Louisiana, USA

Cite This

ISO 690

LEWIS, David W., Claus SCHEIDERER, Thomas UNGER, 2001. A Weak Hasse Principle for Central Simple Algebras with an Involution. Quadratic Forms and Related Topics. Baton Rouge, Louisiana, USA, Mar 26, 2001 - Mar 30, 2001. In: HOFFMAN, J. William, ed. and others. Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001. Bielefeld, pp. 241-251

BibTex

@inproceedings{Lewis2001Hasse-23583,
  year={2001},
  title={A Weak Hasse Principle for Central Simple Algebras with an Involution},
  number={2001,1},
  address={Bielefeld},
  series={Documenta mathematica},
  booktitle={Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001},
  pages={241--251},
  editor={Hoffman, J. William},
  author={Lewis, David W. and Scheiderer, Claus and Unger, Thomas}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/23583">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/23583"/>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-13T13:46:57Z</dcterms:available>
    <dcterms:bibliographicCitation>Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA; March 26 - 30, 2001 / [ed. by ... J. William Hoffman ...]. - Bielefeld, 2001. - S. 241-251. - (Documenta mathematica ; [2001,1])</dcterms:bibliographicCitation>
    <dcterms:issued>2001</dcterms:issued>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:language>eng</dc:language>
    <dcterms:title>A Weak Hasse Principle for Central Simple Algebras with an Involution</dcterms:title>
    <dc:contributor>Lewis, David W.</dc:contributor>
    <dc:creator>Scheiderer, Claus</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Unger, Thomas</dc:creator>
    <dc:contributor>Scheiderer, Claus</dc:contributor>
    <dc:contributor>Unger, Thomas</dc:contributor>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-13T13:46:57Z</dc:date>
    <dcterms:abstract xml:lang="eng">The notions of totally indefinite and weakly isotropic algebras with involution are introduced and a proof is given of the fact that a field satisfies the Effective Diagonalization Property (ED) if and only if it satisfies the following weak Hasse principle: every totally indefinite central simple algebra with involution of the first kind over the given field is weakly isotropic. This generalizes a known result from quadratic form theory.</dcterms:abstract>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Lewis, David W.</dc:creator>
  </rdf:Description>
</rdf:RDF>

Bibliography of Konstanz

No