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On Anisotropy of Orthogonal Involutions


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1 WestMlische Wilhelms-Universitat, Mathematisches Institut, Einsteinstr. 62, D-48149 Munster, Germany
     

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We show that an orthogonal involution of a central division algebra D (over a field of characteristic, not 2) remains anisotropic over the generic splitting field of D. We also give a couple of other applications of the same technique.
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  • On Anisotropy of Orthogonal Involutions

Abstract Views: 165  |  PDF Views: 0

Authors

Nikita A. Karpenko
WestMlische Wilhelms-Universitat, Mathematisches Institut, Einsteinstr. 62, D-48149 Munster, Germany

Abstract


We show that an orthogonal involution of a central division algebra D (over a field of characteristic, not 2) remains anisotropic over the generic splitting field of D. We also give a couple of other applications of the same technique.