Orthogonal Pfister involutions in characteristic two

Dolphin, Andrew
(2014) Journal of Pure and Applied Algebra — Vol. 218, n° 10, p. 1900-1915 (2014)

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  • Dolphin, AndrewUCLouvain
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Abstract
We show that over a field of characteristic 2 a central simple algebra with orthogonal involution that decomposes into a product of quaternion algebras with involution is either anisotropic or metabolic. We use this to define an invariant of such orthogonal involutions that completely determines the isotropy behaviour of the involution. We also give an example of a non-totally decomposable algebra with orthogonal involution that becomes totally decomposable over every splitting field of the algebra. © 2014 Elsevier B.V.
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Dolphin, A. (2014). Orthogonal Pfister involutions in characteristic two. Journal of Pure and Applied Algebra, 218(10), 1900-1915. https://doi.org/10.1016/j.jpaa.2014.02.013 (Original work published 2014)