Orthogonal Pfister Involutions in Characteristic Two

@inproceedings{Dolphin2013OrthogonalPI,
  title={Orthogonal Pfister Involutions in Characteristic Two},
  author={Andrew Dolphin},
  year={2013}
}
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 in characteristic 2 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… CONTINUE READING
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