12 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
Degree relative invariant for unitary involutions
Demba Barry, Alexandre Masquelein, Anne Quéguiner-Mathieu
Using the Rost invariant for non split simply connected groups, we define a relative degree cohomological invariant for pairs of orthogonal or unitary involutions having isomor…
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…
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…
Pfister's Theorem for orthogonal involutions of degree 12
Skip Garibaldi, Anne Quéguiner-Mathieu
We use the fact that a projective half-spin representation of has an open orbit to generalize Pfister's result on quadratic forms of dimension 12 in to orthogonal…
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…