Andrew Dolphin : Metabolic Involutions and quadratic radical extensions

Submission: 2010, Oct. 8, revised: 2011, Jun 24

In this paper we study the conditions under which an involution becomes metabolic over a quadratic field extension. We characterise those involutions that become metabolic over a given separable quadratic extension. We further give an example of an anisotropic orthogonal involution that becomes isotropic over a separable quadratic extension.

2000 Mathematics Subject Classification: Primary 11E81; Secondary 11E39, 12F10

Keywords and Phrases: Central simple algebras; involutions; bilinear and hermitian forms; characteristic two; inseparable extensions.

Full text: dvi.gz 33 k, dvi 78 k, ps.gz 582 k, pdf.gz 147 k, pdf 164 k.

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