Decomposability for division algebras of exponent two and associated forms

Becher, Karim Johannes

Decomposability for division algebras of exponent two and associated forms

Dateien

9511.pdfGröße: 1.01 MBDownloads: 303

Datum

2008

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematische Zeitschrift. 2008, 258(3), pp. 691-709. Available under: doi: 10.1007/s00209-007-0193-5

Zusammenfassung

This article investigates the structure of quadratic forms and of division algebras of exponent two over fields of characteristic different from two with the property that the third power of the fundamental ideal in the associated Witt ring is torsion free.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Central simple algebra, Merkurjev's Theorem, Quaternion algebra, Quadratic form, Clifford invariant, Witt index, Height, Real field

Zitieren

ISO 690

BECHER, Karim Johannes, 2008. Decomposability for division algebras of exponent two and associated forms. In: Mathematische Zeitschrift. 2008, 258(3), pp. 691-709. Available under: doi: 10.1007/s00209-007-0193-5

BibTex

@article{Becher2008Decom-734,
  year={2008},
  doi={10.1007/s00209-007-0193-5},
  title={Decomposability for division algebras of exponent two and associated forms},
  number={3},
  volume={258},
  journal={Mathematische Zeitschrift},
  pages={691--709},
  author={Becher, Karim Johannes}
}

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Universitätsbibliographie

Ja