A proof of the Pfister Factor Conjecture

Becher, Karim Johannes

A proof of the Pfister Factor Conjecture

Dateien

9512becher.pdfGröße: 339.62 KBDownloads: 380

Datum

2008

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik
Zukunftskolleg

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Inventiones Mathematicae. 2008, 173(1), pp. 1-6. Available under: doi: 10.1007/s00222-007-0107-5

Zusammenfassung

It is shown that any split product of quaternion algebras with orthogonal involution is adjoint to a Pfister form. This settles the Pfister Factor Conjecture formulated by D.B. Shapiro. A more general problem on decomposability for algebras with involution is posed and solved in the case where the algebra is equivalent to a quaternion algebra.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

BECHER, Karim Johannes, 2008. A proof of the Pfister Factor Conjecture. In: Inventiones Mathematicae. 2008, 173(1), pp. 1-6. Available under: doi: 10.1007/s00222-007-0107-5

BibTex

@article{Becher2008proof-669,
  year={2008},
  doi={10.1007/s00222-007-0107-5},
  title={A proof of the Pfister Factor Conjecture},
  number={1},
  volume={173},
  journal={Inventiones Mathematicae},
  pages={1--6},
  author={Becher, Karim Johannes}
}

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