The orthogonal µ-invariant of a quaternion algebra

Becher, Karim Johannes; Mahmoudi, Mohammad G.

The orthogonal µ-invariant of a quaternion algebra

Dateien

becher.pdfGröße: 142.02 KBDownloads: 381

Datum

2010

Autor:innen

Becher, Karim Johannes

Mahmoudi, Mohammad G.

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-106226

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Bulletin of the Belgian Mathematical Society - Simon Stevin. 2010, 17(1), pp. 181-192

Zusammenfassung

In quadratic form theory over fields, a much studied field invariant is the u-invariant, defined as the supremum over the dimensions of anisotropic quadratic forms over the field. We investigate the corresponding notions of u-invariant for hermitian and for skew-hermitian forms over a division algebra with involution, with a special focus on skew-hermitian forms over a quaternion algebra. Under certain conditions on the center of the quaternion algebra, we obtain sharp bounds for this invariant.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Hermitian form, Isotropy, Dimension, Algebra with involution, U-invariant

Zitieren

ISO 690

BECHER, Karim Johannes, Mohammad G. MAHMOUDI, 2010. The orthogonal µ-invariant of a quaternion algebra. In: Bulletin of the Belgian Mathematical Society - Simon Stevin. 2010, 17(1), pp. 181-192

BibTex

@article{Becher2010ortho-806,
  year={2010},
  title={The orthogonal µ-invariant of a quaternion algebra},
  url={https://projecteuclid.org/euclid.bbms/1267798507},
  number={1},
  volume={17},
  journal={Bulletin of the Belgian Mathematical Society - Simon Stevin},
  pages={181--192},
  author={Becher, Karim Johannes and Mahmoudi, Mohammad G.}
}

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URL der Originalveröffentl.

https://projecteuclid.org/euclid.bbms/1267798507

Prüfdatum der URL

2020-11-30

Universitätsbibliographie

Ja