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math.RA2019
The canonical quadratic pair on a Clifford algebra and triality
Andrew Dolphin, Anne Quéguiner-Mathieu
We define a canonical quadratic pair on the Clifford algebra of an algebra with quadratic pair over a field. This allows us to extend to the characteristic 2 case the notion of tri…
math.RA2016
Symplectic Involutions, quadratic pairs and function fields of conics
Andrew Dolphin, Anne Quéguiner-Mathieu
In this paper we study symplectic involutions and quadratic pairs that become hyperbolic over the function field of a conic. In particular, we classify them in degree 4 and deduce…
math.RA2006
A generic characterization of direct summands for orthogonal involutions
Anne Quéguiner-Mathieu
The `transcendental methods' in the algebraic theory of quadratic forms are based on two major results, proved in the 60's by Cassels and Pfister, and known as the representation a…