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The discriminant of a decomposable symplectic involution

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Serhir, Ahmed [Université Chouaïb Doukkali, El Jadida] Tignol, Jean-Pierre [UCL]

A formula is given for the discriminant of the tensor product of the canonical involution on a quaternion algebra and an orthogonal involution on a central simple algebra of degree divisible by 4. As an application, an alternative proof of Shapiro's "Pfister factor conjecture" is given for tensor products of at most five quaternion algebras.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2004
Language Anglais
Journal information "Journal of Algebra" - Vol. 273, no. 2, p. 601-607 (2004)
Peer reviewed yes
Publisher Academic Press Inc Elsevier Science (San Diego)
issn 0021-8693
Publication status Publié
Affiliation UCL
Links
Bibliographic reference Serhir, Ahmed ; Tignol, Jean-Pierre. The discriminant of a decomposable symplectic involution. In: Journal of Algebra, Vol. 273, no. 2, p. 601-607 (2004)
Permanent URL http://hdl.handle.net/2078.1/40372