Orthogonal Pfister Involutions in Characteristic Two

  title={Orthogonal Pfister Involutions in Characteristic Two},
  author={Andrew Dolphin},
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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Quéguiner-Mathieu. Pfister involutions

  • E. Bayer-Fluckieger, R. Parimala
  • Proc. Indian Acad. Sci. Math. Sci.,
  • 2003
Highly Influential
3 Excerpts

Nokhodkar. On split products of quaternion algebras with involution

  • M. G. Mahmoudi, A.-H
  • Preprint, http://arxiv.org/abs/1306.2598,
  • 2013
1 Excerpt

The Pfister Factor Conjecture for quadratic pairs

  • A. Dolphin
  • Preprint
  • 2013
1 Excerpt

Dolphin . Metabolic involutions

  • A.
  • Journal of Algebra
  • 2011

Hyper-isotropy of bilinear forms in characteristic 2

  • A. Laghribi, P. Mammone
  • Contemporary Mathematics,
  • 2009

Relations in I and InWq in characteristic 2

  • J. Arason, R Baeza
  • J. Algebra,
  • 2007

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