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

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2001

Autor:innen

Lewis, David W.

Scheiderer, Claus

Unger, Thomas

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-235834

Sammlungen

Mathematik und Statistik

Publikationstyp

Beitrag zu einem Konferenzband

Publikationsstatus

Published

Erschienen 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, 2001, pp. 241-251. Documenta mathematica. 2001,1

Zusammenfassung

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

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

Konferenz

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

Zitieren

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, 26. März 2001 - 30. März 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, 2001, pp. 241-251. Documenta mathematica. 2001,1

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}
}

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