The discriminant of a decomposable symplectic involution

Serhir, Ahmed;Tignol, Jean-Pierre
(2004) Journal of Algebra — Vol. 273, n° 2, p. 601-607 (2004)

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Abstract
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.
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Serhir, A., & Tignol, J.-P. (2004). The discriminant of a decomposable symplectic involution. Journal of Algebra, 273(2), 601-607. https://doi.org/10.1016/j.jalgebra.2003.05.007 (Original work published 2004)